Answer: LHS simplifies to RHS, as shown below.
\[\text{LHS}=\tan^2\theta(\tan^2\theta+1)=\tan^2\theta\sec^2\theta\]
\[=(\sec^2\theta-1)\sec^2\theta\]
\[=\sec^4\theta-\sec^2\theta=\text{RHS}\]
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Doubtly AI
· 24 Oct 2026
AI-verified · Oct 2026
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