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The value of alpha^(3)/2cosec^(2)(1/2tan...

The value of `alpha^(3)/2cosec^(2)(1/2tan^(-1)""alpha/beta)+beta^(3)/2sec^(2)(1/2tan^(-1)(beta/alpha))` is equal to

A

`(alpha-beta)(alpha^(2)+beta^(2))`

B

`(alpha-beta)(alpha^(2)+beta^(2))`

C

`(alpha+beta)(alpha^(2)+beta^(2))`

D

`(alpha-beta)(alpha^(2)-beta^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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