The value of x for the maximum value of sqrt{ | vedclass

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(A) Let $f(x) = \sqrt{3} \cos x + \sin x$. We can rewrite this as $f(x) = 2 \left( \frac{\sqrt{3}}{2} \cos x + \frac{1}{2} \sin x \right)$. Using the

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$30$

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(A) Let $f(x) = \sqrt{3} \cos x + \sin x$. We can rewrite this as $f(x) = 2 \left( \frac{\sqrt{3}}{2} \cos x + \frac{1}{2} \sin x ight)$. Using the identity $\sin(A+B) = \sin A \cos B + \cos A \sin B$,we get $f(x) = 2 \sin(x + 60^o)$. The maximum value of $\sin 	heta$ is $1$,which occurs when $	heta = 90^o$. Therefore,$f(x)$ is maximum when $x + 60^o = 90^o$. Solving for $x$,we get $x = 90^o - 60^o = 30^o$.

The value of $x$ for the maximum value of $\sqrt{3} \cos x + \sin x$ is .....$^o$

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