Simplify arcsin(0)

Problem

arcsin(0)

Solution

1. Identify the definition of the inverse sine function, where y=arcsin(x) means sin(y)=x for y in the interval [−π/2,π/2]

2. Set up the equation to find the angle y such that sin(y)=0

3. Determine the value within the restricted range [−π/2,π/2] that satisfies the equation.

4. Conclude that since sin(0)=0 and 0 is within the required interval, the value is 0

Final Answer

arcsin(0)=0

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