Q2 of 61 Page 204

Prove the following identities

Consider LHS,


LHS =


We know that sec2θ = 1 + tan2θ and coesc2θ = 1 + cot2θ.


⇒ =


=


=


We know that tanθ cotθ = 1.


⇒ =


We know that a2 + b2 + 2ab = (a + b)2.


⇒ =


= (tanθ + cotθ) = RHS


Hence proved.


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