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Prove the following identity: sec^4theta...

Prove the following identity: `sec^4theta-sec^2theta=tan^4theta+tan^2theta`

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To prove the identity \( \sec^4 \theta - \sec^2 \theta = \tan^4 \theta + \tan^2 \theta \), we will start from the left-hand side (LHS) and manipulate it to show that it equals the right-hand side (RHS). ### Step-by-Step Solution: 1. **Start with the left-hand side (LHS):** \[ \sec^4 \theta - \sec^2 \theta \] ...
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