Simplify arcsin(1/2)

Problem

arcsin(1/2)

Solution

1. Identify the definition of the inverse sine function, which asks for an angle θ in the interval [−π/2,π/2] such that sin(θ)=1/2

2. Recall the unit circle values for the sine function, where sin(θ) represents the ycoordinate of a point on the unit circle.

3. Determine the angle within the restricted range where the sine value is 1/2 which corresponds to 30 or π/6 radians.

Final Answer

arcsin(1/2)=π/6

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