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  4. The maximum value of sin θ cos θ is

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Q. The maximum value of sin $\theta $ cos $\theta$ is

Solution:

Max. value of sin $\theta$ cos $\theta$
= Max . value of $\left( \frac{sin 2 \theta}{2} \right)$
= $\frac{1}{2}$ Max. value of sin 2 $\theta$ = $\frac{1}{2}(1) = \frac{1}{2}$