Question

Sin A / 1+ cos A = cosec A - cot A Prove it

Answer 1

Step-by-step explanation:

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Answer 2

sin A = 2 sin (A/2) cos (A/2)

1 + cos A = 2 $cos^{2}$ (A/2)

so, sin A / 1 + cos A = tan (A/2)-------->LHS

cosec A - cot A = 1 / sin A - cos A / sin A

=> (1 - cos A) / sin A

{1 - cos A = 2 $sin^{2}$ (A/2)

sin A = 2 sin (A/2) cos (A/2)}

=> tan (A/2) -------->RHS

Hence LHS = RHS

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