Trigonometry - Proving and Simplifying Trigonometric Identities

Trigonometry - Proving and Simplifying Trigonometric Identities

Prove the identity \((\sec x + \operatorname{cosec} x) (\sin x + \cos x) = \sec x\ \operatorname{cosec} x + 2\).

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Answer:\((\sec x+\operatorname{cosec}x)(\sin x+\cos x)=\sec x\operatorname{cosec}x+2\), for all \(x\) where both sides are defined.

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