Question

Prove that:
$\frac{{\sin }^2\theta }{\cos \theta }+\cos \theta =\sec \theta$

Answer 1

$\frac{{\sin }^2\theta }{\cos \theta }+\cos \theta =\sec \theta$

L.H.S

$\frac{{\sin }^2\theta }{\cos \theta }+\cos \theta$

$\frac{{\sin }^2\theta +{\cos }^2\theta }{\cos \theta }$

$=\frac{1}{\cos \theta }$

$=\sec \theta$

$=R.H.S$