The maximum value of f(x) = sin x + cos x is | vedclass

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(D) The given function is $f(x) = \sin x + \cos x$.We can write this in the form $a \sin x + b \cos x$,where $a = 1$ and $b = 1$.The maximum value of

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$\sqrt{2}$

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(D) The given function is $f(x) = \sin x + \cos x$.We can write this in the form $a \sin x + b \cos x$,where $a = 1$ and $b = 1$.The maximum value of the function $f(x) = a \sin x + b \cos x$ is given by the formula $\sqrt{a^2 + b^2}$.Substituting the values,we get $\sqrt{1^2 + 1^2} = \sqrt{1 + 1} = \sqrt{2}$.Therefore,the maximum value is $\sqrt{2}$.

The maximum value of $f(x) = \sin x + \cos x$ is

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