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cot^-1[(cot alpha)^(1/2)]+tan^-1[(cotalp...

`cot^-1[(cot alpha)^(1/2)]+tan^-1[(cotalpha)^(1/2)]=x then sin x=` (A) 1 (B) `cot^2(alpha/2)` (C) `tanalpha` (D) `cot(alpha/2)

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Knowledge Check

  • cot^(-1)[(cos alpha)^(1//2)]-tan^(-1)[(cos alpha)^(1//2)]=x then sin x =

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

  • cot^(-1)[(cos alpha)^(1//2)]- tan^(-1) [(cos alpha)^(1//2)] =x , then sin x=

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

  • cot^(-1)((alpha)/(2))-tan^(-1)(sqrt(cosalpha))=x , then sin x is equal to

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

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    If quad cot^(-1)sqrt(tan alpha)-tan^(-1)sqrt(tan alpha), then tan ((pi)/(4),(u)/(2))i sequa<0 (a) sqrt(tan alpha)(b)sqrt(cot alpha)(c)tan alpha(d)cot alpha

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