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if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(...

if:`f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)),` then find the range of `f(x)`

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Knowledge Check

  • If f (x) =(1)/(sqrt(x+2sqrt((2x-4))))+(1)/(sqrt(x-2 sqrt(2x-4))) for x gt2, then the value of f (11) is-

    A
    `6/7`
    B
    `5/7`
    C
    `5/6`
    D
    `7/6`

  • Let f(x)=(sqrt(x-2 sqrt(x-1)))/(sqrt(x-1)-1) , then -

    A
    `f'(10)=1`
    B
    `f'((3)/(2))=-1`
    C
    domain of f(x) is `x ge 1`
    D
    range of f(x) is `(-2,1] cup (2, oo)`

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