Q2 of 61 Page 204

Prove the following identities

sec2θ + cosec2θ = sec2θ cosec2θ

Consider LHS,


LHS = sec2θ + cosec2θ


We know that secθ = and cosecθ =


⇒ sec2θ + cosec2θ = +


=


We know that sin2θ + cos2θ = 1.


⇒ =


= ×


= sec2θ cosec2θ = RHS


Hence proved.


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