Question

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

• A. 1
• B. $\frac{1}{2}$
• C. $\frac{1}{\sqrt{2}}$
• D. $\frac{\sqrt{3}}{2}$

Answer 1

Answer: (B)

Max. value of sin $\theta$ cos $\theta$
= Max . value of $\left(\frac{sin2\theta }{2}\right)$
= $\frac{1}{2}$ Max. value of sin 2 $\theta$ = $\frac{1}{2}(1)=\frac{1}{2}$