Q. 3 B3.7( 10 Votes )

Prove the following identities.


Answer :

Consider LHS,


LHS = +


We know that = cotθ and = tanθ.


+ = +


= +


= +


= [ - ]


= []


We know that a3 – b3 = (a – b) (a2 + ab + b2).


+ = []


We know that sin2θ + cos2θ = 1.


+ =


= +


We know that = cosecθ and = secθ.


+ = 1 + secθcosecθ = RHS


Hence proved.


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