Answer:
The exact values of sin2Ф and cos2Ф are as follows:
sin2Ф = 0.8983
cos2Ф = 0.4394
Step-by-step 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
