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then value of the expression sin^(-1)(co...

then value of the expression `sin^(-1)(cos(cos^(-1)(cos x)+sin^(-1)(sin x)))`

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sin[cos^(-1)x]=cos[sin^(-1)x]

If sin^(-1)x in (0, (pi)/(2)) , then the value of tan((cos^(-1)(sin(cos^(-1)x))+sin^(-1)(cos(sin^(-1)x)))/(2)) is :

Knowledge Check

  • The value of sin ^(-1)[cos (cos ^(-1)(cos x)+sin ^(-1)(sin x))] where x in((pi)/(2), pi) is

    A
    `(pi)/(2)`
    B
    `-pi`
    C
    `pi`
    D
    `-(pi)/(2)`
  • sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))=

    A
    `pi/4`
    B
    0
    C
    `pi/2`
    D
    `-pi/2`
  • find the value of expression (sin2x)/(1+cos2x) is:

    A
    tan2x
    B
    cos2x
    C
    tanx
    D
    none of these
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    If sin^(-1)x in (0, (pi)/(2)) , then the value of tan((cos^(-1)(sin(cos^(-1)x))+sin^(-1)(cos(sin^(-1)x)))/(2)) is :