Answer: LHS simplifies to RHS, as shown below.
\[\text{LHS}=\frac{(1+\sin\theta)+(1-\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}\]
\[=\frac{2}{1-\sin^2\theta}=\frac{2}{\cos^2\theta}\]
\[=2\sec^2\theta=\text{RHS}\]
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Doubtly AI
· 24 Oct 2026
AI-verified · Oct 2026
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