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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