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

(v)

Prove the following identities:

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1+sin⁡α1−sin⁡α=sin⁡α2+cos⁡α2sin⁡α2−cos⁡α2\sqrt{\dfrac{1 + \sin\alpha}{1 - \sin\alpha}} = \dfrac{\sin\dfrac{\alpha}{2} + \cos\dfrac{\alpha}{2}}{\sin\dfrac{\alpha}{2} - \cos\dfrac{\alpha}{2}}

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