Question

Given that cosθ=7/25 , what is sinθ ?

Enter your answer, as a simplified fraction, in the boxes.

sinθ=

Answer 1

sin(θ) = 24/25

Explanation:

We can easily solve this problem by applying the trigonometric identity

sin(x) ^2 + cos(x) ^2 = 1

In this case

sin(θ) ^2 + cos(θ) ^2 = 1

sin(θ) ^2 = 1 - cos(θ) ^2

sin(θ) ^2 = 1 - (7/25) ^2

sin(θ) ^2 = 1 - (49/625)

sin(θ) ^2 = 576/625

sin(θ) = √( 576/625)

sin(θ) = 24/25