Question

Please help! Answers are on the image attached!

Answer 1

The exact values of sin2Ф and cos2Ф are as follows:

sin2Ф = 0.8983

cos2Ф = 0.4394

Explanation:

sin Ф = 9/17 = perp/hyp = y/r

we know that:

r² = x²+y²

17² = x² + 9²

x² = 208

x = 4√13

cos Ф = base/hyp = x/r = (4√13)/17

Solving sin2Ф

we know that:

sin2Ф = 2 sinФ cosФ

= 2*(9/17)*((4√13)/17)

= (72√13)/289

= 0.8983

Solving cos2Ф:

we know that:

cos2Ф = 1 - 2sin²Ф

= 1 - 2(9/17)²

= 1 - 0.5606

= 0.4394