Question

Simplify the expression $1-{\sin }^{2}x$

Answer 1

Use trigonometric identity

We have to simplify the expression $1-{\sin }^{2}x$

We know the trigonometric identity

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

On rearranging the terms in the above identity we get

$1-{\sin }^{2}x={\cos }^{2}x$

Hence, the simplified form of the given expression $1-{\sin }^{2}x$ is ${\cos }^{2}x$