# Find the exact value of the trigonometric expression given that sin(u) = − 3/5, where 3π/2 < u < 2π, and cos(v) = 15/17, where 0 < v < π/2. ? cos(u−v)

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Find the exact value of the trigonometric expression given that

sin(u) = − 3/5, where 3π/2 < u < 2π, and cos(v) = 15/17,

where 0 < v < π/2. ?

cos(u−v)

Find the exact value of the trigonometric expression given that

sin(u) = − 3/5, where 3π/2 < u < 2π, and cos(v) = 15/17,

where 0 < v < π/2. ?

cos(u−v)

##### 1 Answer

Jun 15, 2018

#### Explanation:

Trig identity:

cos (u - v) = cos u.cos v + sin u.sin v (1)

Replace these above values into identity (1)