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For all values of theta , the values of...

For all values of `theta ` , the values of ` 3- cos theta + cos ( theta + (pi)/(3))` lie in the interval

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For all values of theta , the values of 3-cos theta+cos (theta+(pi)/(3)) lies in the interval

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For all values of theta,3-costheta+cos(theta+(pi)/(3)) lie in the interval

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Write the interval in which the values of 5costheta+3cos(theta+pi/3)+3\ lie.