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The value of tan^(-1) ( sqrt(2) sin ""...

The value of ` tan^(-1) ( sqrt(2) sin "" ( 3 pi)/( 4))` is

A

` - (pi)/(2)`

B

`(pi)/(2)`

C

`(pi)/(4)`

D

`(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The value of (1)/(sqrt(2))"sin"(pi)/(6)"cos"(pi)/(4)-"cot"(pi)/(3)"sec"(pi)/(6)+(5"tan"(pi)/(4))/("12sin"(pi)/(2)) is equal to

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    `(1)/(sqrt(2))`
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