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

30 181 Trigonometric Functions Report Error

A

1

41%

B

2

17%

C

$2$

14%

D

$\frac{1}{2}$

28%

Solution:

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