Maximum value of the expression $2 \sin x+4 \cos x+3$ is

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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Application +4 | -1

Maximum value of the expression

2 \sin x+4 \cos x+3

View answer and explanation

Correct option: A

2 \sqrt{5}+3

Option A (

2 \sqrt{5}+3

) is correct because the maximum value of

a \sin x + b \cos x

\sqrt{a^2 + b^2}

, and adding a constant shifts the maximum value accordingly.

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