Question

1. Use the given conditions to find the exact value of the expression. sin(α) = -5/3,...

1. Use the given conditions to find the exact value of the expression.

sin(α) = -5/3, tan(α) > 0, sin(α - 5π/3)

2. Use the given conditions to find the exact value of the expression.

cos α = 24/25, sin α < 0, cos(α + π/6)

3. Use the given conditions to find the exact value of the expression.

cot x = √3, cos x < 0, tan(x + π/6)

4. If α and β are acute angles such that cos α = 3/5 and tan β = 15/8, find the following.

(a)    sin(α + β)
_________

(b)    cos(α + β)

_________

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