Math, asked by Swastik1232, 1 year ago

Cosec^6A -cot^6A =3cot^2A.cosec^2A+1

Answers

Answered by sandy1816

3

Step-by-step explanation:

cosec^6A-cot^6A

=(cosec²A)³-(cot²A)³

=(cosec²A-cot²A) (cosec⁴A+cosec²Acot²A+cot⁴A)

=cosec⁴A+cot⁴A+cosec²Acot²A

=(cosec²A)²+(cot²A)²+2cosec²Acot²A -2cosec²Acot²A+cosec²Acot²A

=(cosec²A)²+(cot²A)²-2cosec²Acot²A +3cosec²Acot²A

=(cosec²A-cot²A)²+3cosec²Acot²A

=1+3cot²Acosec²A

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