Question:medium
Let $f(x)=(8\sin x+15\cos x+3)^{2}-15$, $x\in\mathbb{R}.$ Then the maximum value of $f$ is
Let $f(x)=(8\sin x+15\cos x+3)^{2}-15$, $x\in\mathbb{R}.$ Then the maximum value of $f$ is
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Logic Tip: When looking for the maximum of a squared term like $(u+c)^2$, you want $u$ to be the same sign as $c$ and as large as possible. Since $c$ is positive (+3), we choose the positive maximum bound for $u$ (+17).
Updated On: Apr 27, 2026
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The Correct Option is C
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