Question
Prove the following identity :$\left(1-\sin ^2 \theta\right) \sec ^2 \theta=1$
✓
Answer
$\left(1-\sin ^2 \theta\right) \sec ^2 \theta=1$
Consider L.H.S $=\cos ^2 \theta \sec ^2 \theta$
$=\cos ^2 \theta \times \frac{1}{\cos ^2 \theta}=1$
= R.H.S
Hence proved.
Consider L.H.S $=\cos ^2 \theta \sec ^2 \theta$
$=\cos ^2 \theta \times \frac{1}{\cos ^2 \theta}=1$
= R.H.S
Hence proved.
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