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The function f(x)=sqrt(cos(sinx))+sin^-1...

The function `f(x)=sqrt(cos(sinx))+sin^-1((1+x^2)/(2x))` is defined for :

Answer

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Find the domain of the following function : f(x)= sqrt(cos(sinx))+ sin^(-1) ((1+x^2)/(2x)) .

Domain of the function f(x)=sqrt(cos(sin x))+sin(x^(2)-1) is [-1,1][-2,2]c*[-pi,sqrt(2)]uu[sqrt(2),pi][-sqrt(2),-sqrt(2)]

Knowledge Check

  • The domain set of defination of the function f (x) = sqrt ( cos (sin x )) + sin ^(-1) ((1+ x ^(2))/( 2x)) is

    A
    ` -1 lt x le 1`
    B
    `x ge 1`
    C
    `x le 1`
    D
    `x = pm 1`

  • The domain of the function: f(x) = sqrt(sin^(-1)(log_(2)x)) + sin^(-1)((1+x^(2))/(2x)) + sqrt(cos(sinx)) is:

    A
    {1}
    B
    {-1,1}
    C
    `{x: 1 le x le 2}`
    D
    Not defined for any real x.

  • The domain of the function f(x)=sqrt(abs(sin^(-1)(sinx))-cos^(-1)(cosx)) in [0,2pi] is

    A
    `[0,pi/2] cup [(3pi)/2,2pi]`
    B
    `[pi,2pi]`
    C
    `[0,pi]-{pi/2}`
    D
    `[0,2pi]-{pi/2,(3pi)/2}`

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    The domain of definition of function f(x)=sqrt(cos^(-1)x-2sin^(-1)x) is equal to

    Find the domains of definaton of the following functions: (a) f(x)=sqrt(arc sin (log_2x)) , (b) f(x)=log_(2) log_(3) log _(4) x, (c) f(x)=1/x +2^(arc sinx)+1/sqrt(x-2) (d) f(x)=log|4-x^(2)| , (e) f(x)=sqrt(cos(sin x)+arc sin ""(1+x^(2))/(2x) Find the ranges of the following functions: (f) y=1/(2-cos 3x) (g) y=x/(1+x^2)

    The domain of the function f(x)=sqrt(abs(sin^(-1)(sinx))-cos^(-1)(cosx)) in [0,2pi] is

    The domain of the function f(x)=sqrt(abs(sin^(-1)(sinx))-cos^(-1)(cosx)) in [0,2pi] is

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