(*) Of the following, which is a solution to \( 2 \sin (2 x)=\sqrt{3} \) ?
Select one:
a. 0
b. \( \pi / 6 \)
c. \( \pi / 4 \)
d. \( \pi / 3 \)
e. \( \pi / 2 \)

Answer

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Answer

Step 3: Find x: \( 2x = \frac{\pi}{3} \) or \( 2x = \frac{5\pi}{3} \)

Steps

Step 1 ：Step 1: Solve for x: \( 2 \sin (2 x)=\sqrt{3} \)

Step 2 ：Step 2: Divide both sides by 2: \( \sin(2x) = \frac{\sqrt{3}}{2} \)

Step 3 ：Step 3: Find x: \( 2x = \frac{\pi}{3} \) or \( 2x = \frac{5\pi}{3} \)