Question

prove that sinA/1-cosA=cosecA+c step wiseotA​

Answer 1

Answer:

trigonometry function using

Answer 2

To Prove:

sin A

________= cosec A + cot A

1 - cos A

Proof:

LHS:

$\sf{ \frac{sin \: x}{1 - cos \: x} } \\ \\ \sf{on \: rationalizing \: the \: denominator : } \\ \\ \implies \: \sf{ \frac{sin \: x}{1 - cos \: x} \times \frac{1 + cos \: x}{1 + cos \: x} } \\ \\ \implies \: \sf{ \frac{sin \: x(1 + cos \: x)}{1 - cos {}^{2}x } } \\ \\ \implies \: \sf{ \frac{sin \: x(1 + cos \: x)}{sin {}^{2}x } } \\ \\ \implies \: \sf{ \frac{1 + cos \: x}{sin \: x} } \\ \\ \implies \: \sf{ \frac{1}{sin \: x} + \frac{cos \: x}{sin \: x} } \\ \\ \implies \: \boxed{ \sf{cosec \: x \: + \: cot \: x}}$

Henceforth,proved