Question

Prove that the given equation is an identity.
(sin θ−cos θ)2 = 1−sin 2θ

Answer 1

\[sin(2\theta) = 2sin(\theta)cos(\theta)\]

Answer 2

use \sin for a nicer looking sine function :)

\[\sin(\theta)\]

Answer 3

also use

\[\sin^2(\theta)+\cos^2(\theta)=1\]