Question

prove that sin 2 theta by 1 minus Cos 2 theta is equal to COT theta

Answer 1

$\frac{sin2\theta}{1- cos2\theta} \\ \\ = \frac{sin2\theta}{1- 1 + 2sin^{2} \theta} \\ \\ = \frac{2sin\theta\cos\theta}{2sin^{2}\theta} \\ \\ = \frac{cos\theta}{sin\theta} \\ \\ = cot\theta \\ \\ \textbf{Identities Used} \\ \\ 1. sin2\theta= 2sin\theta\cos\theta \\ \\ 2. cos2\theta = 1 - 2sin^{2}\theta \\ \\ 3. \frac{cos\theta}{sin\theta} = cot\theta$

Answer 2

Step-by-step explanation:

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