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the maximum value of function sinx(1+cos...

the maximum value of function `sinx(1+cosx)` is

A

3

B

`3sqrt3//4`

C

4

D

`3sqrt3`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The maximum value of function f(x)=sinx(1+cosx),xiniR is

    A
    `(3^(3//2))/(4)`
    B
    `(3^(5//3))/(4)`
    C
    `(3)/(2)`
    D
    `(3^(7//5))/(4)`
  • The maximum value of f(x)=sinx(1+cosx) is

    A
    `(3sqrt3)/4`
    B
    `(3sqrt3)/2`
    C
    `3sqrt3`
    D
    `sqrt3`
  • The maximum value of f(x)=(sin2x)/(sinx+cosx) in the interval (0, (pi)/(2)) is

    A
    `sqrt2`
    B
    `(1)/(sqrt2)`
    C
    1
    D
    `(1)/(2)`
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