🛠️ JEE➗ Maths

\(\max _{0\leq \mathrm{x}\leq \pi }\left(16\sin \left(\frac{\mathrm{x}}{2}\right){\cos }^{3}\left(\frac{\mathrm{x}}{2}\r…

Q1

\(\max _{0\leq \mathrm{x}\leq \pi }\left(16\sin \left(\frac{\mathrm{x}}{2}\right){\cos }^{3}\left(\frac{\mathrm{x}}{2}\right)\right)\) is equal to:

[JEE Main 2026, 4 Apr (Shift 2)]

a

\(\frac{3\sqrt{3}}{2}\)

b

\(3\sqrt{3}\)

c

\(4\sqrt{3}\)

d

\(6\sqrt{3}\)

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