Evaluating a Trigonometric ExpressionIn Exercises 41–46, find the exact valueof the trigonometric expression giventhat sin u = −35, where 3π2 < u < 2π, andcos v = 1517, where 0 < v < π2.41. sin(u + v) 42. cos(u − v)43. tan(u + v) 44. csc(u − v)45. sec(v − u) 46. cot(u + v)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.7: Inverse Trigonometric Functions
Problem 98E
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Evaluating a Trigonometric Expression
In Exercises 41–46, find the exact value
of the trigonometric expression given
that sin u = −3
5, where 3π2 < u < 2π, and
cos v = 15
17, where 0 < v < π2.
41. sin(u + v) 42. cos(u − v)
43. tan(u + v) 44. csc(u − v)
45. sec(v − u) 46. cot(u + v)

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