Question

Rewrite as an expression that does not involve a fraction.

Answer 1

The pythagorean formula tells us that

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

Then,

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

Replacing this in the numerator, we obtain

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

Then, the expression is equal to 1.