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Maximum value of sin (x + (pi)/(6)) + co...

Maximum value of `sin (x + (pi)/(6)) + cos (x + (pi)/(6))` is

A

`pi/12`

B

`pi/6`

C

`pi/3`

D

`pi/2`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The maximum value of sin (x + x/6) + cos (x + pi/6) int eh interval (0,pi/2) is attained when x =

    A
    `pi//12`
    B
    `pi//6`
    C
    `pi//3`
    D
    `pi//2`

  • The maximum value of 1+sin((pi)/(6)+theta)+2cos((pi)/(3)-theta) for real values of theta is

    A
    3
    B
    5
    C
    4
    D
    none of these

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