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Find maximum and minium value of 5costhe...

Find maximum and minium value of `5costheta+3sintheta(theta+pi/6)` for all real values of `theta`.

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7 and `-7`
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Find the maximum and minimum value of 5cos theta+3sin(theta+(pi)/(6)) for all real values of theta . Find the minimum value of costheta+cos2theta for all real values of theta . Find the maximum and minimum value of cos^(2)theta-6sin thetacos theta+3sin^(2)theta+2 .

Find maximum and minimum value of 5cos theta+3sin(theta+(pi)/(6))

Knowledge Check

  • The maximum values of 3 costheta+5sin(theta-(pi)/(6)) for any real value of theta is:

    A
    `sqrt(1 9)`
    B
    `sqrt(79)/(2)`
    C
    `sqrt(31)`
    D
    `sqrt(34)`
  • The maximum value of 3cos theta+5 sin(theta-pi//6) for any real theta is :

    A
    `sqrt(19)`
    B
    `(1)/(2) sqrt(19)`
    C
    `sqrt(31)`
    D
    `sqrt(34)`
  • The maximum value of sin^8 theta + cos^14 theta for all real values of theta is s

    A
    1
    B
    `sqrt2`
    C
    `1/sqrt2`
    D
    0
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    Prove that: -4le5costheta+3cos(theta+pi/3)+3 ge10 , for all values of theta .

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