Question

How do you simplify $1-{\cos }^2\theta$?

Answer 1

Simplify the given expression:

The given expression is $1-{\cos }^2\theta$.

We know the identity,

${\sin }^2\theta +{\cos }^2\theta =1$

$\Rightarrow$ ${\sin }^2\theta =1-{\cos }^2\theta$

Hence, $1-{\cos }^2\theta$ can be simplified into ${\sin }^2\theta$.