Q2 of 61 Page 204

Prove the following identities

Consider LHS,


LHS =


Multiplying numerator and denominator by (1 + cosθ),


⇒ = ×


We know that (a + b) (a – b) = a2 – b2


⇒ =


We know that 1 – cos2θ = sin2θ.


⇒ =


= +


= +


We know that = cosecθ and = cotθ


∴ = cosecθ + cotθ = RHS


Hence proved.


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