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Question

Mathematics Question on Trigonometric Functions

The values of x in the interval [0,π][0,\pi] such that sin2x=32sin 2x = \frac{\sqrt3}2

A

π6,π3\frac{\pi}6, \frac{\pi}3

B

π6,2π3\frac{\pi}6,\frac{2\pi}3

C

π3,2π3\frac{\pi}3,\frac{2\pi}3

D

π6,5π6\frac{\pi}6,\frac{5\pi}6

E

π3,5π6\frac{\pi}3,\frac{5\pi}6

Answer

π6,π3\frac{\pi}6, \frac{\pi}3

Explanation

Solution

The correct option is (A): π6,π3\frac{\pi}6, \frac{\pi}3