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Find the maximum and minimum value of 5c...

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`.

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The correct Answer is:
(i) `7&-7` (ii) `-(9)/(8)` (iii) `4+sqrt(10)&4-sqrt(10)`
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