Question

prove:
cosec A (1 + cos A) (cosec A - cot A) = 1​

Answer 1

Answer:

Hence Proved

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Answer 2

Answer:

cscA(1+cosA)(cscA−cotA)=1

LHS: sinA1 [1+cosA][ sinA1 − sinAccos ][∵cscA= sinA1 ,cotA= sin A cos A ]= sinAA (1+cosA) sinA(1−cosA)= sin 2 A1−cos 2 A [∵ cos 2A+sin 2 A=1 sin 2 A=1−cos 2 A]= sin 2 A sin 2A=1=RHS