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Let f(x)=sinx+2cos^2x, x in [pi/6,(2pi)/...

Let `f(x)=sinx+2cos^2x`, x `in [pi/6,(2pi)/3]`, then maximum value of f(x) is

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Knowledge Check

  • Let f(x)=sinx+2cos^2x,pi/4lexle(3pi)/4 . then f attains its

    A
    minimum at `x=pi/4`
    B
    maximum at `x=pi/2`
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  • Let f(x)=(sinx-cosx+sqrt2)/(x^(3//2)), " where "x in [pi/4,(5pi)/4] . Let m be the maximum value of F(x) and M be the minimum value of F(x). Then [(2M)/(5m)] is equal to ([.]) denotes the greatest interger function

    A
    3
    B
    2
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    4
    D
    6

  • If f(x) = 2 sinx, g(x) = cos^(2) x , then the value of (f+g)((pi)/(3))

    A
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