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Trigonometry - Proving and Simplifying Trigonometric Identities

Trigonometry - Proving and Simplifying Trigonometric Identities

  1. Prove the identity \((\cot{x} + \tan x) \cos x = \operatorname{cosec}x\).

  2. Prove the identity \((\sec{x} - \tan x)(\operatorname{cosec}x + 1) = \cot{x}\).

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Answer:(a) \(\operatorname{cosec}x\). (b) \(\cot x\). Both identities are proved for all \(x\) where the displayed expressions are defined.

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