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  4. The greatest value of sin x ⋅ cos x is

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Q. The greatest value of $\sin x \cdot \cos x$ is

Trigonometric Functions

Solution:

Since, $\sin x \cdot \cos x=\frac{1}{2} \sin 2 x \leq \frac{1}{2} (\because|\sin 2 x| \leq 1)$