Theory of Intelligence
11TH•Mathematics•Trigonometric Identities•Question 2

(xi)

Prove the following identities:

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(xi)

tan⁡θ2+cot⁡θ2cot⁡θ2−tan⁡θ2=sec⁡θ\dfrac{\tan\dfrac{\theta}{2} + \cot\dfrac{\theta}{2}}{\cot\dfrac{\theta}{2} - \tan\dfrac{\theta}{2}} = \sec\theta

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