Answer :

Given, cosec2 48° - tan2 42°


Need to prove the given equation as one


we know that tan(90 - θ) = cotθ


tan42° = tan(90 - 48)°


= cot48° - - - eq (1)


Substitute eq(1) in the given equation


cosec2 48° - cot248°


we know that


And



=


[ sin2θ + cos2θ = 1


1 - cos2θ = sin2θ]



= 1


cosec2 48° - tan2 42° = 1


Hence, proved


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