Question

Try to solve this
Prove that L.H.S=R.H.S

Answer 1

Answer:

LHS=

(1+1/tan2A)(1+1/cot2A)

(1+cot2A)(1+tan2A)

cosec2A * sec2A

(1/sin2A)(1/cos2A)

sin2A/cos2A

1/sin2A.cos2A

RHS=

1/cos2A-cos4A

1/cos2A(1-cos2A)

1/sin2A.cos2A

hence LHS=RHS=1/sin2Acos2A