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

If `u=cot^-1 sqrt(tanalpha)-tan^-1 sqrt(tan alpha),` then `tan(pi/4-u/2)` is equal to (a) `sqrt(tan alpha)` (b) `sqrt(cos alpha)` (c) `tan alpha` (d) `cot alpha`

A

`sqrt(tan alpha)`

B

`sqrt(cot alpha)`

C

`tan alpha`

D

`cot alha`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • 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`

  • 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`

  • 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
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