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If u = cot^(-1)sqrt(tan alpha ) - tan ^(...

If `u = cot^(-1)sqrt(tan alpha ) - tan ^(-1)sqrt(tan alpha)` then `tan (pi/4-u/2)` is a)`sqrt(tan alpha)` b)`sqrt(cot alpha)` c)`tan alpha` d)`cot alpha`

A

`sqrt(tan alpha)`

B

`sqrt(cot alpha)`

C

`tan alpha`

D

`cot alpha`

Text Solution

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The correct Answer is:
A
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