\operatorname cosec ^ 4 A - \operatorname cosec ^ 2 A – InterviewSolution

1.

\operatorname cosec ^ 4 A - \operatorname cosec ^ 2 A = \operatorname cot ^ 4 A %2B \operatorname cot ^ 2 A

Answer»

To prove cosec⁴ A - cosec²A=cot⁴ A+cot²Asolving LHSLHS=cosec⁴x -cosec²x=cosec²x(cosec²-1)=cosec²xcot²x=(cot²x+1)cot²x=cot⁴x+cot²x

proved

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