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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