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If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) t...

If `tan(cos^(-1)x)="sin"(cot^(-1)(1/2))` then `x` is equal to- a.`1/sqrt(5)` b. `2/sqrt(5)` c. `3/sqrt(5)` d. `sqrt(5)/3`

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Knowledge Check

  • sin^(-1)" 1/sqrt5 +cot^(-1)3 is equal to

    A
    `pi/6`
    B
    `pi/4`
    C
    `pi/3`
    D
    `pi/2`

  • If x= sqrt((sqrt5+1)/(sqrt5-1)) , then x^(2)-x -1 is equal to

    A
    0
    B
    1
    C
    2
    D
    5

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    1/(sqrt(2)+sqrt(3)+sqrt(5))+1/(sqrt(2)+sqrt(3)-sqrt(5))

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