Theory of Intelligence
11TH•Mathematics•Trigonometric Identities•Question 3

(iii)

Prove the following identities:

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(iii)

sin⁡A−sin⁡Bsin⁡A+sin⁡B=tan⁡A−B2cot⁡A+B2\dfrac{\sin A - \sin B}{\sin A + \sin B} = \tan\dfrac{A-B}{2}\cot\dfrac{A+B}{2}

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