Find the Exact Value arcsin(0)

Problem

arcsin(0)

Solution

1. Identify the definition of the inverse sine function. The expression arcsin(0) represents the angle θ in the interval [−π/2,π/2] such that sin(θ)=0

2. Recall the values of the sine function on the unit circle. We look for an angle θ where the ycoordinate of the point on the unit circle is 0

3. Determine the angle within the restricted range. Since sin(0)=0 and 0 is within the interval [−π/2,π/2] the value is 0

Final Answer

arcsin(0)=0

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