Question

Prove that cosec(1-cosA)(cosecA+cotA)=1​

Answer 1

Answer:

LHS

= (1-cosA/sinA)*(1/sin A + cos A / sin A)

= (1-cosA)(1+cos A)/sin^2 A

= 1-cos^2 A/sin^2 A

= sin^2 A/sin^2 A = 1

= RHS

Hence proved.