Use the given information to find the exact value of each of the following.

Question

a. sin2θ

b. cos2θ

c, tan2θ

sinθ = 8/15, θ lies in quadrant II

Answer 1

sinx = 8/15 cosx = -sqr161

sin2x = 2sinxcosx = 2(8/15)(-sqr161) = -16(sqr161)/15

cos2x = 1 - 2sin^2(x) = 1-2(8/^2/15^2) =1- 128/225= 97/225

tan2x = sin2x/cos2x = -16(sqr161)/15/97/225 = -240(sqr161)/97

Answer 2