Problem

\( \left(^{*}\right) \) 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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Hide Steps

Answer

\( x = \frac{\pi}{6}, \frac{\pi}{3} \)

Steps

Step 1 ：\( 2 \sin (2 x)=\sqrt{3} \)

Step 2 ：\( \sin (2 x)=\frac{\sqrt{3}}{2} \)

Step 3 ：\( 2 x = \frac{\pi}{3}, \frac{2\pi}{3} \)

Step 4 ：\( x = \frac{\pi}{6}, \frac{\pi}{3} \)

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