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

(iv)

Prove that:

(iv)

sin⁡θ−cos⁡θtan⁡θ2cos⁡θ+sin⁡θtan⁡θ2=tan⁡θ2\dfrac{\sin\theta - \cos\theta \tan\dfrac{\theta}{2}}{\cos\theta + \sin\theta \tan\dfrac{\theta}{2}} = \tan\dfrac{\theta}{2}

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