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The maximum value of $4 \sin ^2 x+3 \cos ^2 x$ is
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The correct answer is:
4
$f(x)=4 \sin ^2 x+3 \cos ^2 x \sin ^2 x+3$ and $0 \leq|\sin x| \leq 1$
$\therefore$ Maximum value of $\sin ^2 = x+3$ is 4.
$\therefore$ Maximum value of $\sin ^2 = x+3$ is 4.
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