Solve for x 6arcsin(x)=pi

Problem

6*arcsin(x)=π

Solution

1. Isolate the inverse sine function by dividing both sides of the equation by 6

arcsin(x)=π/6

2. Apply the sine function to both sides to undo the inverse sine operation.

sin(arcsin(x))=sin(π/6)

3. Simplify the left side using the property sin(arcsin(x))=x and evaluate the right side using the unit circle.

x=sin(π/6)

4. Determine the value of sin(π/6) which is 1/2

x=1/2

Final Answer

x=1/2

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