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. format_list_bulleted
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage