Question

Evaluate cosec^2 57°- tan^2 33°

Answer 1

cosec²57°-tan²33°

:cosec²57°-cot²57°=1

(tan(90-a)=cota, cosec²a-cot²a=1)

Answer 2

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Cosec^2 57° - Tan^2 33°

Cosec^2 (90°-33°) - Tan^2 33°

Sec^2 33° - Tan^2 33°

Identity:

Sec^2 A - Tan^2 A = 1

Hence,

Sec^2 33° - Tan^2 33° = 1

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