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x is an acute angle. {:[sin(x)=(sqrt3)/(2)],[x=◻]:} Submit

x x is an acute angle.\newlinesin⁡(x)=32x=□ \begin{array}{l} \sin (x)=\frac{\sqrt{3}}{2} \\ x=\square \end{array} \newlineSubmit

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Inverses of csc, sec, and cotright chevron icon

Full solution

Q. x x is an acute angle.\newlinesin⁡(x)=32x=□ \begin{array}{l} \sin (x)=\frac{\sqrt{3}}{2} \\ x=\square \end{array} \newlineSubmit
  1. Identify sine value: We know that sin⁡(x)=32\sin(x) = \frac{\sqrt{3}}{2}. Let's find the angle xx whose sine is 32\frac{\sqrt{3}}{2}.
  2. Use trigonometric values: From the unit circle or trigonometric values, we know that sin⁡(60°)=32\sin(60°) = \frac{\sqrt{3}}{2}.
  3. Calculate angle: Therefore, x=60∘x = 60^\circ.

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