A solution to x is 240°. Therefore, option D is the correct answer.
The given equation is sin x/2 = √3/2.
What is the value of sin standard angles?
The value of sin standard angles is sin 0°=0, sin 30°=1/2, sin 45°=1/√2, sin 60°=√3/2, sin 90°=1 and sin 120°=√3/2.
Now, sin 240°/2 = √3/2
⇒sin 120°=√3/2
A solution to x is 240°. Therefore, option D is the correct answer.
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