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Find the maximum value of sqrt(3)sinx+co...

Find the maximum value of `sqrt(3)sinx+cosxa n dx` for which a maximum value occurs.

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The correct Answer is:
Max, value=2 when x=`60^(@)`
`sqrt(3)sinx+cosx=2((sqrt(3))/(2)sinx+(1)/(2)sinx)=2sin(x+(pi)/(6))`
Which is maximum when `x+pi//6=pi//2` or x=`60^(@)` and has a maximum value 2.
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