Question

How do you simplify `sqrtcostheta(sqrt(2costheta)+sqrt(sinthetacostheta)`?

Answer 1

Start by distributing.

`=sqrt(2cos^2theta) + sqrt(sinthetacos^2theta)`

`=costhetasqrt(2) + costheta(sqrtsintheta)`

`=costheta(sqrt(2) + sqrt(sin theta))`

Hopefully this helps!