Question

sin theta upon 1 minus cos theta equals to cosec theta + cot theta prove

Answer 1

see the image for the answer.
Hope it helps!!!

Answer 2

$\frac{\sin\theta}{1-\cos\theta} =\csc\theta+\cot\theta$ Proved.

Step-by-step explanation:

Consider the provided trigonometry function.

$\frac{\sin\theta}{1-\cos\theta} =\csc\theta+\cot\theta$

Consider the LHS

$\frac{\sin\theta}{1-\cos\theta}$

Rationalize the denominator.

$\frac{\sin\theta}{1-\cos\theta}\times\frac{1+\cos\theta}{1+\cos\theta}$

$\frac{\sin\theta(1+\cos\theta)}{1-\cos^2\theta}$

$\frac{\sin\theta+\sin\theta\cos\theta}{\sin^2\theta}$

$\frac{1}{\sin\theta}+\frac{\cos\theta}{\sin\theta}$

$\csc\theta+\cot\theta$

LHS=RHS

Hence, proved

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