Q. 2 B4.9( 7 Votes )

Prove the following identities


Answer :

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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