Question

prove that 1/cosec tita -cot tita -1/sin tita _1/sin tita -1/cosec tita +cot tita

Answer 1

Here is ur ans
L H S = 1 / (cosec A - cot A) - 1 / sin A = 1 / sin A = 1 / sin A - 1 / (cosec A + cot A)

=> 1 / (cosec A - cot A) + 1 / (cosec A + cot A) = 1 / sin A + 1 / sin A = 2 / sin A

L H S = (cosec A + cot A + cosec A - cot A) / (cosec A - cot A) (cosec A + cot A) = 2 cosec A / (cosec 2 A - cot 2 A) = 2 cosec A / 1 = 2 X 1 / sin A = 2 / sin A = R H S