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



[ sin2θ + cos2θ = 1

1 - cos2θ = sin2θ]

= 1

cosec2 48° - tan2 42° = 1

Hence, proved

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