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The value of tan^(-1)(1)+cos^(-1)(-1/2)+...

The value of `tan^(-1)(1)+cos^(-1)(-1/2)+sin^(-1)(-1/2)` is equal to `pi/4` b.`(5pi)/(12)` c.`(3pi)/4` d. `(13pi)/(12)`

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Knowledge Check

  • The value of sin^(-1)((12)/(13)) - sin ^(-1)((3)/(5)) is equal to (A) pi-sin ^(-1) ((63)/(65)) (B) (pi)/(2) - sin ^(-1)((56)/(65)) (C) (pi)/(2) - cos ^(-1)((9)/(65)) (D) pi - cos ^(-1)((3)/(65))

    A
    `pi-sin ^(-1) ((63)/(65))`
    B
    `(pi)/(2) - sin ^(-1)((56)/(65))`
    C
    `(pi)/(2) - cos ^(-1)((9)/(65)) `
    D
    `pi - cos ^(-1)((3)/(65))`

  • tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)(a/b)] is equal to

    A
    2a/b
    B
    2b/a
    C
    a/b
    D
    b/a

  • tan[pi/4+1/2cos^(-1)(a/b)]+tan[pi/4-1/2cos^(-1)(a/b)] is equal to

    A
    2a/b
    B
    2b/a
    C
    a/b
    D
    b/a

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