If $\tan x=\frac{b}{a}$, then the value of $a \cos 2 x+b \sin 2 x$ is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

\tan x=\frac{b}{a}

, then the value of

a \cos 2 x+b \sin 2 x

View answer and explanation

Correct option: A

a

Option A (

a

) is correct because by substituting

\tan x = \frac{{b}}{{a}}

into the expression

a \cos 2x + b \sin 2x

and using trigonometric identities, the expression simplifies to

a

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