The maximum value of $4\,\,{\sin ^2}\,\,x\,\, + \,\,3\,\,{\cos ^2}\,\,x$ is

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy

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Application +4 | -1

The maximum value of

4\,\,{\sin ^2}\,\,x\,\, + \,\,3\,\,{\cos ^2}\,\,x

View answer and explanation

Correct option: A

\mathrm{4}

Option A (

\mathrm{4}

) is correct because the maximum value of the expression is 4, which occurs when

\sin^2 x = 1

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