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If alpha in (-(3pi)/2,-pi), then the val...

If `alpha in (-(3pi)/2,-pi)`, then the value of `tan^(-1)(cot alpha)-cot^(-1)(tan alpha)+sin^(-1)(sin alpha)+cos^(-1)(cos alpha)` is equal to

A

`2pi+alpha`

B

`pi+alpha`

C

0

D

`pi-alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
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