Holdings: Trigonometry for dummies

Trigonometry for dummies:

Saved in:

Bibliographic Details
Main Author:	Sterling, Mary Jane 1944- (Author)
Format:	Book
Language:	English
Published:	Indianapolis, Ind. Wiley c2005
Series:	--For dummies
Subjects:	Trigonometry Trigonometrie Einführung
Online Access:	Contributor biographical information Publisher description Table of contents only Inhaltsverzeichnis
Item Description:	Includes index
Physical Description:	XVI, 368 S. Ill., graph. Darst. 24 cm
ISBN:	0764569031

Staff View

MARC


LEADER	00000nam a2200000zc 4500
001	BV022296776
003	DE-604
005	00000000000000.0
007	t
008	070305s2005 xxuad\|\| \|\|\|\| 00\|\|\| eng d
010			\|a 2004116322
020			\|a 0764569031 \|c softcover \|9 0-7645-6903-1
035			\|a (OCoLC)58400700
035			\|a (DE-599)BVBBV022296776
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
044			\|a xxu \|c US
049			\|a DE-1050
050		0	\|a QA531
082	0		\|a 516.24
084			\|a SK 380 \|0 (DE-625)143235: \|2 rvk
100	1		\|a Sterling, Mary Jane \|d 1944- \|e Verfasser \|0 (DE-588)131547666 \|4 aut
245	1	0	\|a Trigonometry for dummies \|c by Mary Jane Sterling
264		1	\|a Indianapolis, Ind. \|b Wiley \|c c2005
300			\|a XVI, 368 S. \|b Ill., graph. Darst. \|c 24 cm
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a --For dummies
500			\|a Includes index
650		4	\|a Trigonometry
650	0	7	\|a Trigonometrie \|0 (DE-588)4060888-8 \|2 gnd \|9 rswk-swf
655		7	\|8 1\p \|0 (DE-588)4151278-9 \|a Einführung \|2 gnd-content
689	0	0	\|a Trigonometrie \|0 (DE-588)4060888-8 \|D s
689	0		\|5 DE-604
856	4		\|u http://www.loc.gov/catdir/enhancements/fy0620/2004116322-b.html \|3 Contributor biographical information
856	4		\|u http://www.loc.gov/catdir/enhancements/fy0620/2004116322-d.html \|3 Publisher description
856	4		\|u http://www.loc.gov/catdir/enhancements/fy0620/2004116322-t.html \|3 Table of contents only
856	4	2	\|m GBV Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015506840&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-015506840
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk

Record in the Search Index

_version_	1804136312734744576
adam_text	TRIGONOMETRY FOR BY MARY JANE STERLING SUB GOTTINGEN 7 217 806 120 2005 A 5579 WILEY WILEY PUBLISHING, INC. TABLE OF CONTENTS INTRODUCTION / ABOUT THIS BOOK 1 CONVENTIONS USED IN THIS BOOK 2 FOOLISH ASSUMPTIONS 2 WHAT YOU RE NOT TO READ 3 HOW THIS BOOK IS ORGANIZED 3 PART I: THE BASICS 3 PART II: TRIGONOMETRIC FUNCTIONS 3 PART III: IDENTITIES 4 PART IV: EQUATIONS AND APPLICATIONS 4 PART V: GRAPHS OF TRIG FUNCTIONS 4 PART VI: THE PART OF TENS 4 ICONS USED IN THIS BOOK 4 WHERE TO GO FROM HERE 5 PART 1: THE BASICS 7 CHAPTER 1: TROUNCING TRIG TECHNICALITIES 9 TAKING TRIG FOR A RIDE: WHAT TRIG IS 9 SIZING UP THE BASIC FIGURES 9 ANGLING FOR POSITION 11 TRIANGULATING YOUR POSITION 13 CIRCLING THE WAGONS :. 14 UNDERSTANDING TRIG SPEAK :. 18 DEFINING TRIG FUNCTIONS 19 TAMING THE RADICALS 21 EQUATING AND IDENTIFYING 23 GRAPHING FOR GOLD 25 DESCRIBING GRAPHING SCALES 25 RECOGNIZING BASIC GRAPHS 25 CHAPTER 2: COORDINATING YOUR EFFORTS WITH CARTESIAN COORDINATES 29 STARTING OUT SIMPLE: PLOTTING POINTS 29 AXES, AXES, WE ALL FALL DOWN 30 DETERMINING THE ORIGIN OF IT ALL 30 PLOTTING X VERSUS Y 31 CUTTING THE GRAPH INTO FOUR PARTS 31 TRIGONOMETRY FOR DUMMIES FROM HERE TO THERE: CALCULATING DISTANCES 33 COUNTING ON VERTICAL AND HORIZONTAL DISTANCES 33 ANOTHER SLANT: DIAGONAL DISTANCES 34 USING EXACT VALUES OR ESTIMATING DISTANCES 36 GETTING TO THE CENTER OF IT ALL 36 FINDING THE MIDPOINT OF A LINE SEGMENT 37 LOCATING THE CENTER OF A CIRCLE 37 PARTITIONING LINE SEGMENTS FURTHER 39 PINPOINTING THE CENTER OF A TRIANGLE 41 RACING DOWN THE SLOPE 43 SLALOMING SLOPE FORMULA 43 RECOGNIZING PARALLEL AND PERPENDICULAR LINES 44 DEFINING CIRCLES WITH NUMBERS 45 CENTERING CIRCLES AT THE ORIGIN 45 WANDERING CENTERS 46 CHAPTER 3: FUNCTIONING WELL 47 RELATIONS VERSUS FUNCTIONS 47 FUNCTION JUNCTION, WHAT S YOUR FUNCTION? 48 USING FUNCTION NOTATION 48 DETERMINING DOMAIN AND RANGE 49 IN-VERSE FUNCTIONS: RHYME OR REASON? 50 WHICH FUNCTIONS HAVE INVERSES? 50 FINDING AN INVERSE FUNCTION 52 TRANSFORMING FUNCTIONS 53 TRANSLATING A FUNCTION 53 REFLECTING LIKE A MIRROR 55 CHAPTER 4: GETTING YOUR DEGREE 57 ANGLES, ANGLES EVERYWHERE: MEASURING IN DEGREES 57 SLICING A COORDINATE PLANE 58 LOOKING ELSEWHERE FOR DEGREE MEASURES 59 GRAPHING ANGLES IN STANDARD POSITION 62 POSITIONING INITIAL AND TERMINAL SIDES 62 MEASURING BY QUADRANTS 62 WHAT S YOUR ANGLE? LABELING IN VARIOUS WAYS 64 USING NEGATIVE ANGLE MEASURES :....64 CO-MINGLING WITH COTERMINAL ANGLES 65 RENAMING ANGLES: SO MANY ALIASES 66 CHAPTER 5: DISHING OUT THE PI: RADIANS 69 WHAT S IN A RADIAN? 69 RELATING TO A CIRCLE 70 CONVERTING DEGREES AND RADIANS 70 HIGHLIGHTING FAVORITES 74 TABLE OF CONTENTS MAKING A CLONE OF ARC 74 TAKING CHUNKS OUT OF CIRCLES 75 SWEEPING HANDS :...78 GOING OUT AND ABOUT 79 CHAPTER 6: GETTING IT RIGHT WITH TRIANGLES 83 SIZING UP RIGHT TRIANGLES 83 WHAT S SO RIGHT ABOUT THEM? 83 THE ANATOMY OF A RIGHT TRIANGLE 84 PYTHAGORAS SCHMYTHAGORAS: DEMYSTIFYING THE PYTHAGOREAN THEOREM 86 HITTING A PYTHAGOREAN TRIPLE 87 SOLVING FOR A MISSING LENGTH 88 IN A LEAGUE OF THEIR OWN: SPECIAL RIGHT TRIANGLES 91 30-60-90 RIGHT TRIANGLES 91 ISOSCELES RIGHT TRIANGLES 92 PART 11: TRIGONOMETRIC FUNCTIONS 93 CHAPTER 7: DOING RIGHT BY TRIG FUNCTIONS 95 SOHCAHTOA TO THE RESCUE: HOW TRIG FUNCTIONS WORK 95 THE NAME GAME: A RIGHT TRIANGLE S THREE SIDES 96 THE SIX RATIOS: RELATING THE THREE SIDES 96 THE SINE FUNCTION: OPPOSITE OVER HYPOTENUSE 97 THE COSINE FUNCTION: ADJACENT OVER HYPOTENUSE 98 THE TANGENT FUNCTION: OPPOSITE OVER ADJACENT 99 ALL TOGETHER, NOW: USING ONE FUNCTION TO SOLVE FOR ANOTHER 100 SOCKING THE RULES AWAY: THE LEGEND OF SOHCAHTOA 101 TAKING IT A STEP FURTHER: RECIPROCAL FUNCTIONS I- 101 THE COSECANT FUNCTION: SINE FLIPPED UPSIDE DOWN 102 THE SECANT FUNCTION: COSINE ON ITS HEAD 103 THE COTANGENT FUNCTION: TANGENT, TAILS SIDE UP 103 ANGLING IN ON YOUR FAVORITES 105 IDENTIFYING THE MOST POPULAR ANGLES 105 DETERMINING THE EXACT VALUES OF FUNCTIONS 106 CHAPTER 8: TRADING TRIANGLES FOR CIRCLES: CIRCULAR FUNCTIONS ILL GETTING ACQUAINTED WITH THE UNIT CIRCLE ILL PLACING POINTS ON THE UNIT CIRCLE 112 FINDING A MISSING COORDINATE 114 GOING FULL CIRCLE WITH THE ANGLES 116 STAYING POSITIVE 116 BEING NEGATIVE OR MULTIPLYING YOUR ANGLES 116 LOCATING AND COMPUTING REFERENCE ANGLES 117 XII TRIGONOMETRY FOR DUMMIES DEFINING TRIG FUNCTIONS FOR ALL ANGLES 121 PUTTING REFERENCE ANGLES TO USE 122 LABELING THE OPTIMISTS AND PESSIMISTS .122 COMBINING ALL THE RULES 123 USING COORDINATES OF CIRCLES TO SOLVE FOR TRIG FUNCTIONS 125 CALCULATING WITH COORDINATES ON THE UNIT CIRCLE 127 CALCULATING WITH COORDINATES ON ANY CIRCLE AT THE ORIGIN 128 DEFINING DOMAINS AND RANGES OF TRIG FUNCTIONS 130 FRIENDLY FUNCTIONS: SINE AND COSINE 131 CLOSE COUSINS OF THEIR RECIPROCALS: COSECANT AND SECANT 132 BROTHERS OUT ON THEIR OWN: TANGENT AND COTANGENT 133 CHAPTER 9: APPLYING YOURSELF TO TRIG FUNCTIONS 135 FIRST THINGS FIRST: ELEVATING AND DEPRESSING 135 ANGLE OF ELEVATION 136 ANGLE OF DEPRESSION 137 MEASURING TALL BUILDINGS WITH A SINGLE BOUND 137 RESCUING A DAMSEL FROM A TOWER 137 DETERMINING THE HEIGHT OF A TREE 139 MEASURING THE DISTANCE BETWEEN BUILDINGS 140 MEASURING SLOPE 142 THE SKY S (NOT) THE LIMIT 143 SPOTTING A BALLOON 144 TRACKING A ROCKET 146 MEASURING THE VIEW OF SATELLITE CAMERAS 148 CALCULATING ODD SHAPES AND MANEUVERING CORNERS 149 FINDING THE AREA OF A TRIANGULAR PIECE OF LAND 149 MOVING AN OBJECT AROUND A CORNER 151 PART 111: IDENTITIES 155 CHAPTER 10: TRIG S BASIC IDENTITIES 157 FLIPPING FUNCTIONS ON THEIR BACKS: RECIPROCAL IDENTITIES 157 FUNCTION TO FUNCTION: RATIO IDENTITIES 159 OPPOSITES ATTRACT: OPPOSITE-ANGLE IDENTITIES 159 REVISITING THE CLASSIC THEOREM: PYTHAGOREAN IDENTITIES 162 THE MOTHER OF ALL PYTHAGOREAN IDENTITIES 163 EXTENDING TO TANGENT AND SECANT 164 FINISHING UP WITH COTANGENT AND COSECANT 165 REARRANGING THE PYTHAGOREAN IDENTITIES ...165 COMBINING THE IDENTITIES 167 THE MANY FACES OF SINE 168 WORKING OUT THE VERSIONS 168 TABLE OF CONTENTS CHAPTER 11: OPERATING ON IDENTITIES 171 SUMMING IT UP ,171 OVERCOMING THE DIFFERENCES 175 DOUBLING YOUR MONEY 179 ONE PLUS ONE EQUALS TWO SINES 179 THREE S A CROWD .180 HALVING FUN YET? 182 EXPLAINING THE 183 HALF A TANGENT IS DOUBLE THE FUN 183 USING HALF-ANGLE IDENTITIES 184 CHAPTER 12: PROVING IDENTITIES 187 LINING UP THE PLAYERS 187 PICKING SIDES 189 WORKING ON BOTH SIDES 192 GOING BACK TO SQUARE ONE 194 CHANGING TO SINES AND COSINES 194 FACTORING 197 USING A LITTLE BIT OF BOTH 198 FRACTURING FRACTIONS 200 BREAKING UP IS HARD TO DO 200 FINDING A COMMON DENOMINATOR 202 USING TRICKS OF THE TRIG TRADE 203 MULTIPLYING BY A CONJUGATE 204 SQUARING BOTH SIDES 206 IDENTIFYING WITH THE OPERATIONS 207 ADDING IT UP 207 WHAT DIFFERENCE DOES IT MAKE? 208 MULTIPLYING YOUR FUN 210 HALVING FUN, WISH YOU WERE HERE 211 PART IV: EQUATIONS AND APPLICATIONS ..213 CHAPTER 13: INVESTIGATING INVERSE TRIG FUNCTIONS 215 WRITING IT RIGHT 215 USING THE NOTATION 216 DISTINGUISHING BETWEEN THE FEW AND MANY 217 DETERMINING DOMAIN AND RANGE OF INVERSE TRIG FUNCTIONS 219 INVERSE SINE FUNCTION 220 INVERSE COSINE FUNCTION 220 INVERSE TANGENT FUNCTION 220 INVERSE COTANGENT FUNCTION 220 INVERSE SECANT FUNCTION 221 INVERSE COSECANT FUNCTION 221 SUMMARIZING DOMAIN AND RANGE 221 TRIGONOMETRY FOR DUMMIES WORKING WITH INVERSES 223 GETTING FRIENDLY WITH YOUR CALCULATOR 224 CHANGING THE MODE .....;....224 INTERPRETING NOTATION ON THE CALCULATOR 225 MULTIPLYING THE INPUT 227 SOLVING SOME MIXED PROBLEMS 228 CHAPTER 14: SOLVING TRIG EQUATIONS 231 GENERATING SIMPLE SOLUTIONS 232 FACTORING IN THE SOLUTIONS 233 FINDING A GREATEST COMMON FACTOR 234 FACTORING QUADRATICS... 235 INCREASING THE DEGREES IN FACTORING 237 FACTORING BY GROUPING 239 USING THE QUADRATIC FORMULA 241 INCORPORATING IDENTITIES 242 FINDING MULTIPLE-ANGLE SOLUTIONS 245 SQUARING BOTH SIDES 247 MULTIPLYING THROUGH 249 SOLVING WITH A GRAPHING CALCULATOR 249 CHAPTER 15: OBEYING THE LAWS 253 DESCRIBING THE PARTS OF TRIANGLES 253 STANDARDIZING THE PARTS 254 DETERMINING A TRIANGLE 254 FOLLOWING THE LAW OF SINES 256 CONTINUING WITH THE LAW OF COSINES 260 DEFINING THE LAW OF COSINES 260 LAW OF COSINES FOR SAS 261 LAW OF COSINES FOR SSS , 263 BEING AMBIGUOUS * 265 INCLUDING THE LAW OF TANGENTS ; 268 FINDING THE AREAS OF TRIANGLES 270 FINDING AREA WITH BASE AND HEIGHT 271 FINDING AREA WITH THREE SIDES 273 FINDING AREA WITH SAS 274 FINDING AREA WITH ASA : 275 PART V: THE GRAPHS OF TRIG FUNCTIONS. 277 CHAPTER 16: GRAPHING SINE AND COSINE 279 THE ABCS OF GRAPHING 279 WAVING AT THE SINE 280 DESCRIBING AMPLITUDE AND PERIOD 280 FORMALIZING THE SINE EQUATION 282 TRANSLATING THE SINE 283 TABLE OF CONTENTS GRAPHING COSINE 285 COMPARING COSINE TO SINE 286 USING PROPERTIES TO GRAPH COSINE .287 APPLYING THE SINES OF THE TIMES 288 SUNNING YOURSELF 288 AVERAGING TEMPERATURE 290 TAKING YOUR TEMPERATURE 291 MAKING A GOAL 292 THEORIZING WITH BIORHYTHMS 292 CHAPTER 17: GRAPHING TANGENT AND COTANGENT 295 CHECKING OUT TANGENT 295 DETERMINING THE PERIOD 296 ASSIGNING THE ASYMPTOTES 296 FIDDLING WITH THE TANGENT V 299 MULTIPLYING THE TANGENT 299 MULTIPLYING THE ANGLE 299 ADDING TO TANGENT 300 CONFRONTING THE COTANGENT 304 CHAPTER 18: GRAPHING OTHER TRIG FUNCTIONS 307 SEEING THE COSECANT FOR WHAT IT IS 307 IDENTIFYING THE ASYMPTOTES 307 USING THE SINE GRAPH 308 VARYING THE COSECANT 310 UNVEILING THE SECANT 312 DETERMINING THE ASYMPTOTES 312 SKETCHING THE GRAPH OF SECANT 312 FOOLING AROUND WITH SECANT 312 LAYING OUT THE INVERSE FUNCTIONS 315 GRAPHING INVERSE SINE AND COSINE 316 TAKING ON INVERSE TANGENT AND COTANGENT 317 CRAFTING INVERSE SECANT AND COSECANT 318 CHAPTER 19: TOPPING OFF TRIG GRAPHS 321 THE BASICS OF TRIG EQUATIONS 321 FLIPPING OVER A HORIZONTAL LINE : 322 INTERPRETING THE EQUATION 323 GRAPHING WITH THE GENERAL FORM 323 ADDING AND SUBTRACTING FUNCTIONS 328 APPLYING YOURSELF TO THE TASK 330 MEASURING THE TIDE 330 TRACKING THE DEER POPULATION 332 MEASURING THE MOVEMENT OF AN OBJECT ON A SPRING 332 TRIGONOMETRY FOR DUMMIES PART VI: THE PART OF TENS 335 CHAPTER 20: TEN BASIC IDENTITIES... PLUS ONE 337 RECIPROCAL IDENTITIES 337 RATIO IDENTITIES 338 PYTHAGOREAN IDENTITIES 338 OPPOSITE-ANGLE IDENTITIES 338 CHAPTER 21: TEN NOT-SO-BASIC IDENTITIES 341 PRODUCT-TO-SUM IDENTITIES 341 SUM-TO-PRODUCT IDENTITIES 342 REDUCTION FORMULA 343 MOLLWEIDE S EQUATIONS 343 CHAPTER 22: TEN WAYS TO FIND THE AREA OF A TRIANGLE 345 USING THE BASE AND HEIGHT 346 ACQUAINTING YOURSELF WITH HERON 346 APPLYING TRIG (THE WHOLE POINT OF THIS BOOK) 346 ) SIDE-ANGLE-SIDE FORMULAS. 347 ANGLE-SIDE-ANGLE FORMULAS 347 GOING BACK TO ALGEBRA: USING DETERMINANTS 347 CHAPTER 23: TEN SINE CURVES REPRESENTING MONTHLY TEMPERATURES 349 BOSTON, MASSACHUSETTS 349 CHICAGO, ILLINOIS 350 DENVER, COLORADO 350 FAIRBANKS, ALASKA 350 GALVESTON, TEXAS 350 HONOLULU, HAWAII :. 350 MIAMI, FLORIDA 351 SAN DIEGO, CALIFORNIA.... 351 SAN JUAN, PUERTO RICO 351 SAULT STE. MARIE, MICHIGAN 351 APPENDIX: TRIG FUNCTIONS TABLE 353 INDEX 357
adam_txt	TRIGONOMETRY FOR BY MARY JANE STERLING SUB GOTTINGEN 7 217 806 120 2005 A 5579 WILEY WILEY PUBLISHING, INC. TABLE OF CONTENTS INTRODUCTION / ABOUT THIS BOOK 1 CONVENTIONS USED IN THIS BOOK 2 FOOLISH ASSUMPTIONS 2 WHAT YOU'RE NOT TO READ 3 HOW THIS BOOK IS ORGANIZED 3 PART I: THE BASICS 3 PART II: TRIGONOMETRIC FUNCTIONS 3 PART III: IDENTITIES 4 PART IV: EQUATIONS AND APPLICATIONS 4 PART V: GRAPHS OF TRIG FUNCTIONS 4 PART VI: THE PART OF TENS 4 ICONS USED IN THIS BOOK 4 WHERE TO GO FROM HERE 5 PART 1: THE BASICS 7 CHAPTER 1: TROUNCING TRIG TECHNICALITIES 9 TAKING TRIG FOR A RIDE: WHAT TRIG IS 9 SIZING UP THE BASIC FIGURES 9 ANGLING FOR POSITION 11 TRIANGULATING YOUR POSITION 13 CIRCLING THE WAGONS :. 14 UNDERSTANDING TRIG SPEAK ':. 18 DEFINING TRIG FUNCTIONS 19 TAMING THE RADICALS 21 EQUATING AND IDENTIFYING 23 GRAPHING FOR GOLD 25 DESCRIBING GRAPHING SCALES 25 RECOGNIZING BASIC GRAPHS 25 CHAPTER 2: COORDINATING YOUR EFFORTS WITH CARTESIAN COORDINATES 29 STARTING OUT SIMPLE: PLOTTING POINTS 29 AXES, AXES, WE ALL FALL DOWN 30 DETERMINING THE ORIGIN OF IT ALL 30 PLOTTING X VERSUS Y 31 CUTTING THE GRAPH INTO FOUR PARTS 31 TRIGONOMETRY FOR DUMMIES FROM HERE TO THERE: CALCULATING DISTANCES 33 COUNTING ON VERTICAL AND HORIZONTAL DISTANCES 33 ANOTHER SLANT: DIAGONAL DISTANCES 34 USING EXACT VALUES OR ESTIMATING DISTANCES 36 GETTING TO THE CENTER OF IT ALL 36 FINDING THE MIDPOINT OF A LINE SEGMENT 37 LOCATING THE CENTER OF A CIRCLE 37 PARTITIONING LINE SEGMENTS FURTHER 39 PINPOINTING THE CENTER OF A TRIANGLE 41 RACING DOWN THE SLOPE 43 SLALOMING SLOPE FORMULA 43 RECOGNIZING PARALLEL AND PERPENDICULAR LINES 44 DEFINING CIRCLES WITH NUMBERS 45 CENTERING CIRCLES AT THE ORIGIN 45 WANDERING CENTERS 46 CHAPTER 3: FUNCTIONING WELL 47 RELATIONS VERSUS FUNCTIONS 47 FUNCTION JUNCTION, WHAT'S YOUR FUNCTION? 48 USING FUNCTION NOTATION 48 DETERMINING DOMAIN AND RANGE 49 IN-VERSE FUNCTIONS: RHYME OR REASON? 50 WHICH FUNCTIONS HAVE INVERSES? 50 FINDING AN INVERSE FUNCTION 52 TRANSFORMING FUNCTIONS 53 TRANSLATING A FUNCTION 53 REFLECTING LIKE A MIRROR 55 CHAPTER 4: GETTING YOUR DEGREE 57 ANGLES, ANGLES EVERYWHERE: MEASURING IN DEGREES 57 SLICING A COORDINATE PLANE 58 LOOKING ELSEWHERE FOR DEGREE MEASURES 59 GRAPHING ANGLES IN STANDARD POSITION 62 POSITIONING INITIAL AND TERMINAL SIDES 62 MEASURING BY QUADRANTS 62 WHAT'S YOUR ANGLE? LABELING IN VARIOUS WAYS 64 USING NEGATIVE ANGLE MEASURES :.64 CO-MINGLING WITH COTERMINAL ANGLES 65 RENAMING ANGLES: SO MANY ALIASES 66 CHAPTER 5: DISHING OUT THE PI: RADIANS 69 WHAT'S IN A RADIAN? 69 RELATING TO A CIRCLE 70 CONVERTING DEGREES AND RADIANS 70 HIGHLIGHTING FAVORITES 74 TABLE OF CONTENTS MAKING A CLONE OF ARC 74 TAKING CHUNKS OUT OF CIRCLES 75 SWEEPING HANDS :.78 GOING OUT AND ABOUT 79 CHAPTER 6: GETTING IT RIGHT WITH TRIANGLES 83 SIZING UP RIGHT TRIANGLES 83 WHAT'S SO RIGHT ABOUT THEM? 83 THE ANATOMY OF A RIGHT TRIANGLE 84 PYTHAGORAS SCHMYTHAGORAS: DEMYSTIFYING THE PYTHAGOREAN THEOREM 86 HITTING A PYTHAGOREAN TRIPLE 87 SOLVING FOR A MISSING LENGTH 88 IN A LEAGUE OF THEIR OWN: SPECIAL RIGHT TRIANGLES 91 30-60-90 RIGHT TRIANGLES 91 ISOSCELES RIGHT TRIANGLES 92 PART 11: TRIGONOMETRIC FUNCTIONS 93 CHAPTER 7: DOING RIGHT BY TRIG FUNCTIONS 95 SOHCAHTOA TO THE RESCUE: HOW TRIG FUNCTIONS WORK 95 THE NAME GAME: A RIGHT TRIANGLE'S THREE SIDES 96 THE SIX RATIOS: RELATING THE THREE SIDES 96 THE SINE FUNCTION: OPPOSITE OVER HYPOTENUSE 97 THE COSINE FUNCTION: ADJACENT OVER HYPOTENUSE 98 THE TANGENT FUNCTION: OPPOSITE OVER ADJACENT 99 ALL TOGETHER, NOW: USING ONE FUNCTION TO SOLVE FOR ANOTHER 100 SOCKING THE RULES AWAY: THE LEGEND OF SOHCAHTOA 101 TAKING IT A STEP FURTHER: RECIPROCAL FUNCTIONS I- 101 THE COSECANT FUNCTION: SINE FLIPPED UPSIDE DOWN 102 THE SECANT FUNCTION: COSINE ON ITS HEAD 103 THE COTANGENT FUNCTION: TANGENT, TAILS SIDE UP 103 ANGLING IN ON YOUR FAVORITES 105 IDENTIFYING THE MOST POPULAR ANGLES 105 DETERMINING THE EXACT VALUES OF FUNCTIONS 106 CHAPTER 8: TRADING TRIANGLES FOR CIRCLES: CIRCULAR FUNCTIONS ILL GETTING ACQUAINTED WITH THE UNIT CIRCLE ILL PLACING POINTS ON THE UNIT CIRCLE 112 FINDING A MISSING COORDINATE 114 GOING FULL CIRCLE WITH THE ANGLES 116 STAYING POSITIVE 116 BEING NEGATIVE OR MULTIPLYING YOUR ANGLES 116 LOCATING AND COMPUTING REFERENCE ANGLES 117 XII TRIGONOMETRY FOR DUMMIES DEFINING TRIG FUNCTIONS FOR ALL ANGLES 121 PUTTING REFERENCE ANGLES TO USE 122 LABELING THE OPTIMISTS AND PESSIMISTS .122 COMBINING ALL THE RULES 123 USING COORDINATES OF CIRCLES TO SOLVE FOR TRIG FUNCTIONS 125 CALCULATING WITH COORDINATES ON THE UNIT CIRCLE 127 CALCULATING WITH COORDINATES ON ANY CIRCLE AT THE ORIGIN 128 DEFINING DOMAINS AND RANGES OF TRIG FUNCTIONS 130 FRIENDLY FUNCTIONS: SINE AND COSINE 131 CLOSE COUSINS OF THEIR RECIPROCALS: COSECANT AND SECANT 132 BROTHERS OUT ON THEIR OWN: TANGENT AND COTANGENT 133 CHAPTER 9: APPLYING YOURSELF TO TRIG FUNCTIONS 135 FIRST THINGS FIRST: ELEVATING AND DEPRESSING 135 ANGLE OF ELEVATION 136 ANGLE OF DEPRESSION 137 MEASURING TALL BUILDINGS WITH A SINGLE BOUND 137 RESCUING A DAMSEL FROM A TOWER 137 DETERMINING THE HEIGHT OF A TREE 139 MEASURING THE DISTANCE BETWEEN BUILDINGS 140 MEASURING SLOPE 142 THE SKY'S (NOT) THE LIMIT 143 SPOTTING A BALLOON 144 TRACKING A ROCKET 146 MEASURING THE VIEW OF SATELLITE CAMERAS 148 CALCULATING ODD SHAPES AND MANEUVERING CORNERS 149 FINDING THE AREA OF A TRIANGULAR PIECE OF LAND 149 MOVING AN OBJECT AROUND A CORNER 151 PART 111: IDENTITIES \ 155 CHAPTER 10: TRIG'S BASIC IDENTITIES 157 FLIPPING FUNCTIONS ON THEIR BACKS: RECIPROCAL IDENTITIES 157 FUNCTION TO FUNCTION: RATIO IDENTITIES 159 OPPOSITES ATTRACT: OPPOSITE-ANGLE IDENTITIES 159 REVISITING THE CLASSIC THEOREM: PYTHAGOREAN IDENTITIES 162 THE MOTHER OF ALL PYTHAGOREAN IDENTITIES 163 EXTENDING TO TANGENT AND SECANT 164 FINISHING UP WITH COTANGENT AND COSECANT 165 REARRANGING THE PYTHAGOREAN IDENTITIES .165 COMBINING THE IDENTITIES 167 THE MANY FACES OF SINE 168 WORKING OUT THE VERSIONS 168 TABLE OF CONTENTS CHAPTER 11: OPERATING ON IDENTITIES 171 SUMMING IT UP ,171 OVERCOMING THE DIFFERENCES 175 DOUBLING YOUR MONEY 179 ONE PLUS ONE EQUALS TWO SINES 179 THREE'S A CROWD .180 HALVING FUN YET? 182 EXPLAINING THE 183 HALF A TANGENT IS DOUBLE THE FUN 183 USING HALF-ANGLE IDENTITIES 184 CHAPTER 12: PROVING IDENTITIES 187 LINING UP THE PLAYERS 187 PICKING SIDES 189 WORKING ON BOTH SIDES 192 GOING BACK TO SQUARE ONE 194 CHANGING TO SINES AND COSINES 194 FACTORING 197 USING A LITTLE BIT OF BOTH 198 FRACTURING FRACTIONS 200 BREAKING UP IS HARD TO DO 200 FINDING A COMMON DENOMINATOR 202 USING TRICKS OF THE TRIG TRADE 203 MULTIPLYING BY A CONJUGATE 204 SQUARING BOTH SIDES 206 IDENTIFYING WITH THE OPERATIONS 207 ADDING IT UP 207 WHAT DIFFERENCE DOES IT MAKE? 208 MULTIPLYING YOUR FUN 210 HALVING FUN, WISH YOU WERE HERE 211 PART IV: EQUATIONS AND APPLICATIONS .213 CHAPTER 13: INVESTIGATING INVERSE TRIG FUNCTIONS 215 WRITING IT RIGHT 215 USING THE NOTATION 216 DISTINGUISHING BETWEEN THE FEW AND MANY 217 DETERMINING DOMAIN AND RANGE OF INVERSE TRIG FUNCTIONS 219 INVERSE SINE FUNCTION 220 INVERSE COSINE FUNCTION 220 INVERSE TANGENT FUNCTION 220 INVERSE COTANGENT FUNCTION 220 INVERSE SECANT FUNCTION 221 INVERSE COSECANT FUNCTION 221 SUMMARIZING DOMAIN AND RANGE 221 TRIGONOMETRY FOR DUMMIES WORKING WITH INVERSES 223 GETTING FRIENDLY WITH YOUR CALCULATOR 224 CHANGING THE MODE .;.224 INTERPRETING NOTATION ON THE CALCULATOR 225 MULTIPLYING THE INPUT 227 SOLVING SOME MIXED PROBLEMS 228 CHAPTER 14: SOLVING TRIG EQUATIONS 231 GENERATING SIMPLE SOLUTIONS 232 FACTORING IN THE SOLUTIONS 233 FINDING A GREATEST COMMON FACTOR 234 FACTORING QUADRATICS. 235 INCREASING THE DEGREES IN FACTORING 237 FACTORING BY GROUPING 239 USING THE QUADRATIC FORMULA 241 INCORPORATING IDENTITIES 242 FINDING MULTIPLE-ANGLE SOLUTIONS 245 SQUARING BOTH SIDES 247 MULTIPLYING THROUGH 249 SOLVING WITH A GRAPHING CALCULATOR 249 CHAPTER 15: OBEYING THE LAWS 253 DESCRIBING THE PARTS OF TRIANGLES 253 STANDARDIZING THE PARTS 254 DETERMINING A TRIANGLE 254 FOLLOWING THE LAW OF SINES 256 CONTINUING WITH THE LAW OF COSINES 260 DEFINING THE LAW OF COSINES 260 LAW OF COSINES FOR SAS 261 LAW OF COSINES FOR SSS , 263 BEING AMBIGUOUS * 265 INCLUDING THE LAW OF TANGENTS ; 268 FINDING THE AREAS OF TRIANGLES 270 FINDING AREA WITH BASE AND HEIGHT 271 FINDING AREA WITH THREE SIDES 273 FINDING AREA WITH SAS 274 FINDING AREA WITH ASA : 275 PART V: THE GRAPHS OF TRIG FUNCTIONS. 277 CHAPTER 16: GRAPHING SINE AND COSINE 279 THE ABCS OF GRAPHING 279 WAVING AT THE SINE 280 DESCRIBING AMPLITUDE AND PERIOD 280 FORMALIZING THE SINE EQUATION 282 TRANSLATING THE SINE 283 TABLE OF CONTENTS GRAPHING COSINE 285 COMPARING COSINE TO SINE 286 USING PROPERTIES TO GRAPH COSINE .287 APPLYING THE SINES OF THE TIMES 288 SUNNING YOURSELF 288 AVERAGING TEMPERATURE 290 TAKING YOUR TEMPERATURE 291 MAKING A GOAL 292 THEORIZING WITH BIORHYTHMS 292 CHAPTER 17: GRAPHING TANGENT AND COTANGENT 295 CHECKING OUT TANGENT 295 DETERMINING THE PERIOD 296 ASSIGNING THE ASYMPTOTES 296 FIDDLING WITH THE TANGENT V 299 MULTIPLYING THE TANGENT 299 MULTIPLYING THE ANGLE 299 ADDING TO TANGENT 300 CONFRONTING THE COTANGENT 304 CHAPTER 18: GRAPHING OTHER TRIG FUNCTIONS 307 SEEING THE COSECANT FOR WHAT IT IS 307 IDENTIFYING THE ASYMPTOTES 307 USING THE SINE GRAPH 308 VARYING THE COSECANT 310 UNVEILING THE SECANT 312 DETERMINING THE ASYMPTOTES 312 SKETCHING THE GRAPH OF SECANT 312 FOOLING AROUND WITH SECANT 312 LAYING OUT THE INVERSE FUNCTIONS 315 GRAPHING INVERSE SINE AND COSINE 316 TAKING ON INVERSE TANGENT AND COTANGENT 317 CRAFTING INVERSE SECANT AND COSECANT 318 CHAPTER 19: TOPPING OFF TRIG GRAPHS 321 THE BASICS OF TRIG EQUATIONS 321 FLIPPING OVER A HORIZONTAL LINE : 322 INTERPRETING THE EQUATION 323 GRAPHING WITH THE GENERAL FORM 323 ADDING AND SUBTRACTING FUNCTIONS 328 APPLYING YOURSELF TO THE TASK 330 MEASURING THE TIDE 330 TRACKING THE DEER POPULATION 332 MEASURING THE MOVEMENT OF AN OBJECT ON A SPRING 332 TRIGONOMETRY FOR DUMMIES PART VI: THE PART OF TENS 335 CHAPTER 20: TEN BASIC IDENTITIES. PLUS ONE 337 RECIPROCAL IDENTITIES 337 RATIO IDENTITIES 338 PYTHAGOREAN IDENTITIES 338 OPPOSITE-ANGLE IDENTITIES 338 CHAPTER 21: TEN NOT-SO-BASIC IDENTITIES 341 PRODUCT-TO-SUM IDENTITIES 341 SUM-TO-PRODUCT IDENTITIES 342 REDUCTION FORMULA 343 MOLLWEIDE'S EQUATIONS 343 CHAPTER 22: TEN WAYS TO FIND THE AREA OF A TRIANGLE 345 USING THE BASE AND HEIGHT 346 ACQUAINTING YOURSELF WITH HERON 346 APPLYING TRIG (THE WHOLE POINT OF THIS BOOK) 346 ) SIDE-ANGLE-SIDE FORMULAS. 347 ANGLE-SIDE-ANGLE FORMULAS 347 GOING BACK TO ALGEBRA: USING DETERMINANTS 347 CHAPTER 23: TEN SINE CURVES REPRESENTING MONTHLY TEMPERATURES 349 BOSTON, MASSACHUSETTS 349 CHICAGO, ILLINOIS 350 DENVER, COLORADO 350 FAIRBANKS, ALASKA 350 GALVESTON, TEXAS 350 HONOLULU, HAWAII ':. 350 MIAMI, FLORIDA 351 SAN DIEGO, CALIFORNIA. 351 SAN JUAN, PUERTO RICO 351 SAULT STE. MARIE, MICHIGAN 351 APPENDIX: TRIG FUNCTIONS TABLE 353 INDEX 357
any_adam_object	1
any_adam_object_boolean	1
author	Sterling, Mary Jane 1944-
author_GND	(DE-588)131547666
author_facet	Sterling, Mary Jane 1944-
author_role	aut
author_sort	Sterling, Mary Jane 1944-
author_variant	m j s mj mjs
building	Verbundindex
bvnumber	BV022296776
callnumber-first	Q - Science
callnumber-label	QA531
callnumber-raw	QA531
callnumber-search	QA531
callnumber-sort	QA 3531
callnumber-subject	QA - Mathematics
classification_rvk	SK 380
ctrlnum	(OCoLC)58400700 (DE-599)BVBBV022296776
dewey-full	516.24
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	516 - Geometry
dewey-raw	516.24
dewey-search	516.24
dewey-sort	3516.24
dewey-tens	510 - Mathematics
discipline	Mathematik
discipline_str_mv	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01849nam a2200457zc 4500</leader><controlfield tag="001">BV022296776</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">070305s2005 xxuad\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2004116322</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0764569031</subfield><subfield code="c">softcover</subfield><subfield code="9">0-7645-6903-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)58400700</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV022296776</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1050</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA531</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.24</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 380</subfield><subfield code="0">(DE-625)143235:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Sterling, Mary Jane</subfield><subfield code="d">1944-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)131547666</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Trigonometry for dummies</subfield><subfield code="c">by Mary Jane Sterling</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Indianapolis, Ind.</subfield><subfield code="b">Wiley</subfield><subfield code="c">c2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 368 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield><subfield code="c">24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">--For dummies</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Trigonometry</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Trigonometrie</subfield><subfield code="0">(DE-588)4060888-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Trigonometrie</subfield><subfield code="0">(DE-588)4060888-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/enhancements/fy0620/2004116322-b.html</subfield><subfield code="3">Contributor biographical information</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/enhancements/fy0620/2004116322-d.html</subfield><subfield code="3">Publisher description</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/enhancements/fy0620/2004116322-t.html</subfield><subfield code="3">Table of contents only</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015506840&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015506840</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection>
genre	1\p (DE-588)4151278-9 Einführung gnd-content
genre_facet	Einführung
id	DE-604.BV022296776
illustrated	Illustrated
index_date	2024-07-02T16:53:40Z
indexdate	2024-07-09T20:54:24Z
institution	BVB
isbn	0764569031
language	English
lccn	2004116322
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-015506840
oclc_num	58400700
open_access_boolean
owner	DE-1050
owner_facet	DE-1050
physical	XVI, 368 S. Ill., graph. Darst. 24 cm
publishDate	2005
publishDateSearch	2005
publishDateSort	2005
publisher	Wiley
record_format	marc
series2	--For dummies
spelling	Sterling, Mary Jane 1944- Verfasser (DE-588)131547666 aut Trigonometry for dummies by Mary Jane Sterling Indianapolis, Ind. Wiley c2005 XVI, 368 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier --For dummies Includes index Trigonometry Trigonometrie (DE-588)4060888-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Trigonometrie (DE-588)4060888-8 s DE-604 http://www.loc.gov/catdir/enhancements/fy0620/2004116322-b.html Contributor biographical information http://www.loc.gov/catdir/enhancements/fy0620/2004116322-d.html Publisher description http://www.loc.gov/catdir/enhancements/fy0620/2004116322-t.html Table of contents only GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015506840&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Sterling, Mary Jane 1944- Trigonometry for dummies Trigonometry Trigonometrie (DE-588)4060888-8 gnd
subject_GND	(DE-588)4060888-8 (DE-588)4151278-9
title	Trigonometry for dummies
title_auth	Trigonometry for dummies
title_exact_search	Trigonometry for dummies
title_exact_search_txtP	Trigonometry for dummies
title_full	Trigonometry for dummies by Mary Jane Sterling
title_fullStr	Trigonometry for dummies by Mary Jane Sterling
title_full_unstemmed	Trigonometry for dummies by Mary Jane Sterling
title_short	Trigonometry for dummies
title_sort	trigonometry for dummies
topic	Trigonometry Trigonometrie (DE-588)4060888-8 gnd
topic_facet	Trigonometry Trigonometrie Einführung
url	http://www.loc.gov/catdir/enhancements/fy0620/2004116322-b.html http://www.loc.gov/catdir/enhancements/fy0620/2004116322-d.html http://www.loc.gov/catdir/enhancements/fy0620/2004116322-t.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015506840&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT sterlingmaryjane trigonometryfordummies

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items