(A) The expression is of the form $a \sin x + b \cos x$,where $a = 1$ and $b = -1$.The maximum value of the expression $a \sin x + b \cos x$ is given

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(A) The expression is of the form $a \sin x + b \cos x$,where $a = 1$ and $b = -1$.The maximum value of the expression $a \sin x + b \cos x$ is given by $\sqrt{a^2 + b^2}$.Substituting the values,we get $\sqrt{(1)^2 + (-1)^2} = \sqrt{1 + 1} = \sqrt{2}$.Therefore,the maximum value is $\sqrt{2}$.

Class 11 Mathematics Trigonometrical Ratios, Functions and Identities Maximum and minimum values of trigonometrical functions, Conditional trigonometrical identities

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The maximum value of $\sin x - \cos x$ is equal to

A
$\sqrt{2}$
B
$1$
C
$0$
D
None of these

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Trigonometrical Ratios, Functions and Identities

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Maximum and minimum values of trigonometrical functions, Conditional trigonometrical identities

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The maximum value of $\sin x - \cos x$ is equal to

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