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The value of cos^(-1)sqrt(2/3)-cos^(-1)(...

The value of `cos^(-1)sqrt(2/3)-cos^(-1)((sqrt(6)+1)/(2sqrt(3)))` is equal to (A) `pi/3` (B) `pi/4` (C) `pi/2` (D) `pi/6`

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Prove that : "cos"^(-1)sqrt((2)/(3))-"cos"^(-1)(sqrt(6)+1)/(2sqrt(3))=(pi)/(6)

The value of sin^(-1)("cot"(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)((sqrt(12))/4)+sec^(-1)sqrt(2)))i s (a) 0 (b) pi/2 (c) pi/3 (d) none of these

Knowledge Check

  • The principal value of sin^-1 (-sqrt3/2)+cos^-1 cos((7pi)/6) is

    A
    `(5pi)/6`
    B
    `pi/2`
    C
    `(3pi)/2`
    D
    none of these

  • The value of int_((pi)/(6))^((pi)/(3)) (dx)/(1+sqrt(tan x)) is equal to -

    A
    `(pi)/(2)`
    B
    `(pi)/(12)`
    C
    `(pi)/(6)`
    D
    `(pi)/(4)`

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