Question

Prove that ( cosec A + cot A) ( 1- cos A) = sin A.

Answer 1

Solution:

LHS = (cosecA+cotA)(1-cosA)

=[1/sinA+cosA/sinA](1-cosA)

=[(1+cosA)/sinA](1-cosA)

= [(1+cosA)(1-cosA)]/sinA

= (1-cos²A)/sinA

= sin²A/sinA

/* 1-cos²A = sin²A */

= sinA

= RHS

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Answer 2

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hope this will help u