(C) The expression is of the form $a \sin x + b \cos x$,where $a = 5$ and $b = 12$.The maximum value of the expression $a \sin x + b \cos x$ is given

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(C) The expression is of the form $a \sin x + b \cos x$,where $a = 5$ and $b = 12$.The maximum value of the expression $a \sin x + b \cos x$ is given by the formula $\sqrt{a^2 + b^2}$.Substituting the values,we get:Maximum value $= \sqrt{5^2 + 12^2}$$= \sqrt{25 + 144}$$= \sqrt{169}$$= 13$.Therefore,the maximum value is $13$.

Class 11 Mathematics Trigonometric Functions Maximum and minimum values of trigonometrical functions, Conditional trigonometrical identities

Easy

What is the maximum value of $5 \sin x + 12 \cos x$?

A
$5$
B
$12$
C
$13$
D
None of these

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What is the maximum value of $5 \sin x + 12 \cos x$?

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