Chapter 6 BLM Answers

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Chapter 6 BLM Answers BLM 6 Chapter 6 Prerequisite Skills. a) i) II ii) IV iii) III i) 5 ii) 7 iii) 7. a) 0, c) 88.,.6, 59.6 d). a) 5 + 60 n; 7 + n, c). rad + n rad; 7 9,. a) 5 6 c) 69. d) 0.88 5.

1 Chapter 6 BLM Answers BLM 6 Chapter 6 Prerequisite Skills. a) i) II ii) IV iii) III i) 5 ii) 7 iii) 7. a) 0, c) 88.,.6, 59.6 d). a) n; 7 + n, c). rad + n rad; 7 9,. a) 5 6 c) 69. d) a) negative negative c) positive d) positive e) negative f ) negative 6. a) 7. a) c) 0. d) 5.68 c) d) 8. a) c) d) a) ( ) ( )( + ) c) ( y) ( + y) d) ( + )( ) e) ( )( + 5) 0. a) θ,, 5 7 θ,,,,,,,,. a) θ odd integral multiples of θ odd integral multiples of, odd integral BLM 6 Section 6. Etra Practice. a) + n; n; and + n; c) n; and + n; d) n;. θ n;. a) c) d) tan. BLM a) c) sec d) e) f ) 6. a) may be an identity not an identity c) not an identity 7. a) cot sec c) csc 8. Left side sin cos sin Left side multiples of.. θ, 6 6 θ + nn ; I or θ + n; 6 6

2 9. Left side sec + sec cos cos + cos cos + + sec + cos + Left side 0. a) LS cos sec + cos sec RS cot tan 6 LS 0, 80. BLM 6 Section 6. Etra Practice. a) sin 6 cos 7 c) cos d) sin. a). a) sin c) cos 0 d) c) d) cos tan. a) cos A sin A c) sin A d) cos A 5. a) cos A cos A c) cos A d) sin A 6. a) cos θ cos () c) sin θ d) sin θ 7. a) c) + 8. a) true false c) true d) false 9. a) c) 9 69 d) 5 d) BLM 6 Section 6. Etra Practice. a) sin. a) tan 5 d) + + cot + csc. a) Eample: c) ( ) Left side csc cos () c) + 7

3 Eample: Left side ( tan ) + tan tan + cos c) Eample: + Left side + Left side sec. a) Eample: tan + tan Left side + cot tan Eample: cot sec Left side cos cos cot c) Eample: csc cot + tan Left side sec cos + + sin 5. a) Eample: csc + cot Left side tan cos + cos ( + ) cot csc Left side Eample: tan + tan Left side ( + ) + tan c) Eample: cot + Left side + tan ( + ) ( + ) cot

4 6. a) Eample: + sin Left side ( + ) ( )( + ) ( + ) ( + ) + Eample: + cos Left side + + ( + ) + Left side c) Eample: cot Left side + sec sec a) Eample: sin c) Eample: y + cos ( ) sin + cos ( y) ( y) Left side cos + cos (cos y sin y)(cos y + sin y) cos y sin y ( sin y) sin y( ) sin y sin y + sin ycos sin y Eample: cot + Left side cos Left side + + cos d) Eample: + + Left side sec

8. a) Verify for 0 : Left side sec 0 sec 0 6 9 9 tan 0 + tan 0 9 9 Left side Eample: Left side sec sec cos cos tan + tan tan (tan + ) cos Left side Verify for 0 : Left side cos 0 + cos 0 tan 0 + 6

5 8. a) Verify for 0 : Left side sec 0 sec tan 0 + tan Left side Eample: Left side sec sec cos cos tan + tan tan (tan + ) cos Left side Verify for 0 : Left side cos 0 + cos 0 tan sec0 Left side Eample: Left side + tan sec + sin ( + ) Left side 9. a) Verify for.: cos. Left side + sin. sin sin. + sin..5 From the graph, the equation appears to be an identity. 0. a) Eample: Left side tan θ cosθ sin θ ( sin θ) sin θcos θ sin θ cos θ tan θ n θ ; Left side

6 . Eample: Left side + + cos ( ) sin + cos cos Left side. Eample: Left side cos + cos( + ) ( ) ( ) + + cos ( ) + cos 8. a) Graph the function Y using Xmin 0 and Xma. The -intercepts are the solutions. 5,,, n, + n; 0. 60, 0, 0, 00 General Solution: n, n; cos + Left side BLM 6 5 Section 6. Etra Practice 5. a),,, ,,, and 5 7 c),,, and d). a) 0, 7,, 6, c) 90, 70. a), no solution 5 c),,. 5, 5, 5, , 6. The error was in dividing by. sin a) The student used rather than ; because the equation is, the period of the function is. 5 + n, +n;

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