Question

I was hoping to get help with verifying/establishing this identity:
4sin^2 theta+ 2cos^ theta= 4- 2cos^ theta

Answer 1

\[\Large\rm 4(\color{red}{\sin^2 \theta})+2\cos^2\theta\]Use your Pythagorean Identity on the red part.

Answer 2

I put brackets around it so you'll remember to `distribute` the 4 to each term that shows up.

Can be easy to forget otherwise.

Answer 3

You remember your identity, yes? :)
\[\Large\rm \sin^2\theta+\cos^2\theta=1\qquad\to\qquad \color{red}{\sin^2\theta=1-\cos^2\theta}\]

Answer 4

Yes, I remember the identity. Thank you so much again for demonstrating it for me!