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Answer to Question #9672 in Trigonometry for Eliana Hernandez

Question #9672
sin α = 4/5, α lies in quadrant II
cos β = 5/13, β lies in quadrant I
find the exact value of the following
1. cos (α + β)
2. tan (α - β)
3. sin 2α
4. cos β/2

verify each identity
9. cos (θ + (π/2)) = -sinθ
10. (sin (α - β))/(sin α cos β) = 1 - cot α tan β
11 sin t cos t(tan t + cot t) = 1

solve each equation on the interval [0,2π)
12. sin 3x = -1/2
13. sin 2x + cos x = 0
14. 2 sin^2 x + cos x = 1
15. 2 cos^2 x - 3 cos x +1 = 0
16. cos x = -0.092
17. tan x sec x = 3 tan x
18. tan^2 x - 3 tan x - 2 = 0
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