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Write the interval in which the values o...

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

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Given,
`5costheta+3(costhetacos60^o−sinthetasin60^o)+3`
`=1/2​[13costheta−3sqrt(3) ​sintheta]+3`
Put `13=rcosalpha,3sqrt(3) ​=rsinalpha`
`so,r=sqrt(169+27)`
`​=sqrt(196)`
...
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