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The value of "tan"(sin^(-1)("cos"(sin^(-...

The value of `"tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(-1)x))),w h e r ex in (0,1),` is equal to 0 (b) 1 (c) `-1` (d) none of these

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Knowledge Check

  • sin {cot^(-1)[tan (cos^(-1)x)]=

    A
    x
    B
    `pi/2`
    C
    1
    D
    none of these

  • If cos^(-1)x=tan^(-1)x , then sin(cos^(-1)x)=

    A
    `x`
    B
    `x^(2)`
    C
    `1//x`
    D
    `1//x^(2)`

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    If y=tan^(-1)((sin x+cos x)/(cos x-sin x)), then (dy)/(dx) is equal to (1)/(2)(b)0(c)1(d) none of these

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