Question

Verify the identity. Help please!!!

Answer 1

The given expression can be proved using the Pythagorean identity as shown below:

$L.H.S \\ \\ = 1+ sec^{2} *sin^{2}x \\ \\ =1+ \frac{1}{cos^{2}x } sin^{2}x \\ \\ =1+tan^{2}x \\ \\ =sec^{2}x \\ \\ = R.H.S$

Thus, the Left hand side has been proved equal to Right Hand Side.