Given that cosθ = -0.489 where π<θ<3π/2, find sinθ

Sinead Mcgee

Sinead Mcgee

Answered question

2021-05-22

Given that cosθ=0.489 where π<θ<3π2, find sinθ

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-05-23Added 169 answers

Use the Pythagorean identity:

sin2θ+cos2θ=1

sin2θ=1cos2θ

Since θ is Quadrant III, then sinθ<0 so take the negative root:

sinθ=1cos2θ

sinθ=10.4892

sinθ0.872

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?