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

If `u = cot^(-1)sqrt(tan alpha) - tan^(-1) sqrt(tan alpha)`, then `tan(pi/4-u/2)`=

A

`sqrt(an 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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Knowledge Check

  • If y = cot^(-1)(sqrt(tanalpha))-tan^(-1) (sqrt(tanalpha)), " than: " tan (pi/4-y/2)=...

    A
    `sqrt(cotalpha)`
    B
    `sqrt(tanalpha)`
    C
    `cotalpha`
    D
    `tanalpha`

  • If cot^(-1) sqrt( cos alpha)- tan^(-1) sqrt(cos alpha) =x , then sin x equals

    A
    `tan^(2)""((alpha)/(2))`
    B
    `cot^(2) ((alpha)/(2))`
    C
    `tan alpha`
    D
    `cot ((alpha)/(2))`

  • cot^(-1)(sqrt(cos alpha))-tan^(-1)(sqrt(cos alpha))=x , then six x is equal to

    A
    `tan^2 (alpha/2)`
    B
    `cot^2 (alpha/2)`
    C
    `tan alpha`
    D
    `cot(alpha/2)`

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