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If tan ""(alpha pi)/(4) =cot ""(beta pi)...

If `tan ""(alpha pi)/(4) =cot ""(beta pi)/(4),` then which one of the following is correct ?

A

`alpha + beta =0` when `n in ZZ`

B

`alpha + beta =2n`

C

`alpha+ beta =2n +1`

D

`alpha + beta =2(2n+1)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If sin ((pi)/(4) cot theta)= cos ((pi)/(4) tan theta), then the general value of theta is-

    A
    `2pn pi +(pi)/(4)`
    B
    `n pi +(pi)/(4)`
    C
    `2n pi pm (pi)/(4)`
    D
    `2n pi -(pi)/(4)`

  • If alpha+beta=(7pi)/(12) and cot beta=1/sqrt3 , then the value of tan alpha is :

    A
    `1/sqrt3`
    B
    `sqrt3`
    C
    0
    D
    1

  • tan(pi/4 + theta) tan (pi/4 -theta)=

    A
    0
    B
    `1/sqrt3`
    C
    1
    D
    `sqrt3`

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