Find the Degree ( square root of 3)/2

Problem

arcsin(√(,3)/2)

Solution

1. Identify the inverse trigonometric function required to find the angle (degree) whose sine value is √(,3)/2

2. Recall the unit circle values for the sine function, where sin(θ)=y

3. Determine the angle in the first quadrant where the ycoordinate is √(,3)/2

4. Convert the radian measure π/3 to degrees using the conversion factor 180/π

5. Calculate the final degree measure: 180/3=60

Final Answer

arcsin(√(,3)/2)=60

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