Question

Given that sinθ=8/17 , what is cosθ ? Enter your answer, as a simplified fraction, in the boxes.

Answer 1

Cosθ = 15/17

Explanation:

Sinθ = 8/17

We know that,

Sin^2 θ + cos^2 θ =1

64/289 + cos^2 θ =1

1 - 64/289 = cos^2 θ

225/289 = cos^2 θ

Cos θ = √225/289

Cos θ = 15/17