Question

What is `3costheta` in terms of `sintheta`?

Answer 1

`3sqrt(1-sin^2(theta))`

Explanation:

We know that `cos^2(theta) + sin^2(theta) = 1`. So `cos^2(theta) = 1 - sin^2(theta)` and `cos(theta) = sqrt(1-sin^2(theta))`.

You multiply this equality by 3 and you find out that `3cos(theta) = 3sqrt(1-sin^2(theta))`