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Math
Calculus
Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
Chapter 7.5, Problem 114RYK
Chapter 7.5, Problem 114RYK
BUY
Precalculus Enhanced with Graphing Utilities, Books a la Carte Edition Plus NEW MyLab Math -- Access Card Package (7th Edition)
7th Edition
ISBN:
9780134268231
Author: Michael Sullivan, Michael Sullivan III
Publisher:
PEARSON
expand_less
1 Graphs
2 Functions And Their Graphs
3 Linear And Quadratic Functions
4 Polynomial And Rational Functions
5 Exponential And Logarithmic Functions
6 Trigonometric Functions
7 Analytic Trigonometry
8 Applications Of Trigonometric Functions
9 Polar Coordinates; Vectors
10 Analytic Geometry
11 Systems Of Equations And Inequalities
12 Sequences; Induction; The Binomial Theorem
13 Counting And Probability
14 A Preview Of Calculus: The Limit, Derivative, And Integral Of A Function
A Review
B The Limit Of A Sequence; Infinite Series
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7.1 The Inverse Sine, Cosine, And Tangent Functions
7.2 The Inverse Trigonometric Functions (continued)
7.3 Trigonometric Equations
7.4 Trigonometric Identities
7.5 Sum And Difference Formulas
7.6 Double-angle And Half-angle Formulas
7.7 Product-to-sum And Sum-to-product Formulas
7.R Review
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Problem 1AYP: The distance d from the point ( 2,3 ) to the point ( 5,1 ) is ____ . (pp. 4-6)
Problem 2AYP: If sin= 4 5 and is in quadrant II, then cos= ________. (pp. 401-403)
Problem 3AYP: (a) sin 4 cos 3 = _____ . (pp. 382-385) (b) tan 4 sin 6 = _____ . (pp. 382-385)
Problem 4AYP: If sin= 4 5 , 3 2 then cos= ____ . (pp.401-403)
Problem 5CV: cos( + )=coscos ___ sinsin
Problem 6CV: sin( )=sincos ___ cossin
Problem 7CV: True or False sin( + )=sin+sin+2sinsin
Problem 8CV: True or False tan75 =tan30 +tan45
Problem 9CV: True or False cos( 2 )=cos
Problem 10CV: True or False If f( x )=sinxandg( x )=cosx , then g( + )=g( )g( )f( )f( )
Problem 11CV: Choose the expression that completes the sum formula for tangent tangent functions: tan( + )=...
Problem 12CV: Choose the expression that is equivalent to sin 60 cos 20 +cos 60 sin 20 . (a) cos 40 (b) sin...
Problem 13SB: Find the exact value of each expression. cos 165
Problem 14SB: Find the exact value of each expression. sin 105
Problem 15SB: Find the exact value of each expression. tan 15
Problem 16SB: Find the exact value of each expression. tan 195
Problem 17SB: Find the exact value of each expression. sin 5 12
Problem 18SB: Find the exact value of each expression. sin 12
Problem 19SB: Find the exact value of each expression. cos 7 12
Problem 20SB: Find the exact value of each expression. tan 7 12
Problem 21SB: Find the exact value of each expression. sin 17 12
Problem 22SB: Find the exact value of each expression. tan 19 12
Problem 23SB: Find the exact value of each expression. sec( 12 )
Problem 24SB: Find the exact value of each expression. cot( 5 12 )
Problem 25SB: Find the exact value of each expression. sin 20 cos 10 +cos20 sin 10
Problem 26SB: Find the exact value of each expression. sin 20 cos 80 cos20 sin 80
Problem 27SB: Find the exact value of each expression. cos 70 cos 20 sin70 sin 20
Problem 28SB: Find the exact value of each expression. cos 40 cos 10 +sin40 sin 10
Problem 29SB: Find the exact value of each expression. tan 20 +tan25 1 tan20 tan25
Problem 30SB: Find the exact value of each expression. tan 40 tan10 1 +tan40 tan10
Problem 31SB: Find the exact value of each expression. sin 12 cos 7 12 cos 12 sin 7 12
Problem 32SB: Find the exact value of each expression. cos 5 12 cos 7 12 sin 5 12 sin 7 12
Problem 33SB: Find the exact value of each expression. cos 12 cos 5 12 +sin 5 12 sin 12
Problem 34SB: Find the exact value of each expression. sin 18 cos 5 18 +cos 18 sin 5 18
Problem 35SB: In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...
Problem 36SB: In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...
Problem 37SB: In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...
Problem 38SB: In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...
Problem 39SB: In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...
Problem 40SB: In Problems 35-40, find the exact value of each of the following under the given conditions: (a)...
Problem 41SB: If sin= 1 3 , in quadrant II, find the exact value of: (a) cos (b) sin( + 6 ) (c) cos( 3 ) (d)...
Problem 42SB: If cos= 1 4 , in quadrant IV, find the exact value of: (a) sin (b) sin( 6 ) (c) cos( + 3 ) (d)...
Problem 43SB: In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...
Problem 44SB: In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...
Problem 45SB: In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...
Problem 46SB: In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...
Problem 47SB: In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...
Problem 48SB: In problems 43-48, use the figures to evaluate each function if f( x )=sinx,g( x )=cosx,h( x )=tanx...
Problem 49SB: establish each identify. sin( 2 + )=cos
Problem 50SB: establish each identify. cos( 2 + )=sin
Problem 51SB: establish each identify. sin( )=sin
Problem 52SB: establish each identify. cos( )=cos
Problem 53SB: establish each identify. sin( + )=sin
Problem 54SB: establish each identify. cos( + )=cos
Problem 55SB: establish each identify. tan( )=tan
Problem 56SB: establish each identify. tan( 2 )=tan
Problem 57SB: establish each identify. sin( 3 2 + )=cos
Problem 58SB: establish each identify. cos( 3 2 + )=sin
Problem 59SB: establish each identify. sin( + )+sin( )=2sincos
Problem 60SB: establish each identify. cos( + )+cos( )=2coscos
Problem 61SB: establish each identify. sin( + ) sincos =1+cottan
Problem 62SB: establish each identify. sin( + ) coscos =tan+tan
Problem 63SB: establish each identify. cos( + ) coscos =1tantan
Problem 64SB: establish each identify. cos( ) sincos =cot+tan
Problem 65SB: establish each identify. sin( + ) sin( ) = tan+tan tantan
Problem 66SB: establish each identify. cos( + ) cos( ) = 1tantan 1+tantan
Problem 67SB: establish each identify. cot( + )= cotcot1 cot+cot
Problem 68SB: establish each identify. cot( )= cotcot+1 cotcot
Problem 69SB: establish each identify. sec( + )= csccsc cotcot1
Problem 70SB: establish each identify. sec( )= secsec 1+tantan
Problem 71SB: establish each identify. sin( )sin( + )= sin 2 sin 2
Problem 72SB: establish each identify. cos( )cos( + )= cos 2 sin 2
Problem 73SB: establish each identify. sin( +k )= ( 1 ) k sin,k any integer
Problem 74SB: establish each identify. cos( +k )= ( 1 ) k cos,k any integer
Problem 75SB: In problems 75-86, find the exact value of each expression. sin( sin 1 1 2 + cos 1 0 )
Problem 76SB: In problems 75-86, find the exact value of each expression. sin( sin 1 3 2 + cos 1 1 )
Problem 77SB: In problems 75-86, find the exact value of each expression. sin[ sin 1 3 5 cos 1 ( 4 5 ) ]
Problem 78SB: In problems 75-86, find the exact value of each expression. sin[ sin 1 ( 4 5 ) tan 1 3 4 ]
Problem 79SB: In problems 75-86, find the exact value of each expression. cos( ta n 1 4 3 +cos 1 5 13 )
Problem 80SB: In problems 75-86, find the exact value of each expression. cos[ tan 1 5 12 sin 1 ( 3 5 ) ]
Problem 81SB: In problems 75-86, find the exact value of each expression. cos( sin 1 5 13 tan 1 3 4 )
Problem 82SB: In problems 75-86, find the exact value of each expression. cos( tan 1 4 3 +cos 1 12 13 )
Problem 83SB: In problems 75-86, find the exact value of each expression. tan( sin 1 3 5 + 6 )
Problem 84SB: In problems 75-86, find the exact value of each expression. tan( 4 cos 1 3 5 )
Problem 85SB: In problems 75-86, find the exact value of each expression. tan( sin 1 4 5 + cos 1 1 )
Problem 86SB: In problems 75-86, find the exact value of each expression. tan( cos 1 4 5 +sin 1 1 )
Problem 87SB: In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....
Problem 88SB: In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....
Problem 89SB: In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....
Problem 90SB: In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....
Problem 91SB: In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....
Problem 92SB: In Problems 87-92, write each trigonometric expression as an algebraic expression containing UandV ....
Problem 93SB: In problems 93-98, solve each equation on the interval 02 . sin 3 cos=1
Problem 94SB: In problems 93-98, solve each equation on the interval 02 . 3 sin+cos=1
Problem 95SB: In problems 93-98, solve each equation on the interval 02 . sin+cos= 2
Problem 96SB: In problems 93-98, solve each equation on the interval 02 . sincos= 2
Problem 97SB: In problems 93-98, solve each equation on the interval 02 . tan+ 3 =sec
Problem 98SB: In problems 93-98, solve each equation on the interval 02 . cot+csc= 3
Problem 99AE: Show that sin 1 v+ cos 1 v= 2 .
Problem 100AE: Show that tan 1 v+ cot 1 v= 2 .
Problem 101AE: Show that tan 1 ( 1 v )= 2 tan 1 v , if v0 .
Problem 102AE: Show that cot 1 e v =tan 1 e v .
Problem 103AE: Show that sin( sin 1 v+ cos 1 v )=1 .
Problem 104AE: Show that cos( sin 1 v+ cos 1 v )=0 .
Problem 105AE: Calculus Show that the difference quotient for f( x )=sinx is given by f( x+h )f( x ) h = sin( x+h...
Problem 106AE: Calculus Show that the difference quotient for f( x )=cosx is given by f( x+h )f( x ) h = cos( x+h...
Problem 107AE: One, Two, Three (a) Show that tan( tan 1 1+ tan 1 2+ tan 1 3 )=0 . (b) Conclude from part (a) that...
Problem 108AE: Electric Power In an alternating current (ac) circuit, the instantaneous power p at time t is given...
Problem 109AE
Problem 110AE: If ++= 180 andcot=cot+cot+cot0 90 show that sin 3 =sin( )sin( )sin( )
Problem 111AE: If tan=x+1andtan=x1 , show that 2cot( )= x 2
Problem 112DW: Discuss the following derivation: tan( + 2 )= tan+tan 2 1tantan 2 = tan tan 2 +1 1 tan 2 tan =...
Problem 113DW: Explain why formula (7) cannot be used to show that tan( 2 )=cot Establish this identity by using...
Problem 114RYK
Problem 115RYK: Convert 17 6 to degrees.
Problem 116RYK: Find the area of the sector of a circle of radius centimeters formed by an angle of 45 . Give both...
Problem 117RYK: Given tan=2, 270 360 , find the exact value of the remaining five trigonometric functions.
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