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The value of cot^(-1)(cot(7pi)/(4)) is:...

The value of `cot^(-1)(cot(7pi)/(4))` is:

A

`(7pi)/(4)`

B

`-(pi)/(4)`

C

`(pi)/(4)`

D

`(3pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The principle value of "tan"^(-1)("cot"(43pi)/(4)) is

    A
    `-(3pi)/(4)`
    B
    `(3pi)/(4)`
    C
    `-(pi)/(4)`
    D
    `pi/4`

  • The principal value of tan^(-1)(cot (43pi)/4) is:

    A
    `-(3pi//4)`
    B
    `3pi//4`
    C
    `pi//4`
    D
    `-(pi//4)`

  • cot^(-1)(cot 4)=

    A
    4
    B
    `1/4`
    C
    `4-pi`
    D
    `pi-4`

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