Solve for x 12arcsin(x)=2pi

Problem

12*arcsin(x)=2*π

Solution

1. Isolate the inverse sine function by dividing both sides of the equation by 12.

arcsin(x)=(2*π)/12

2. Simplify the fraction on the right side of the equation.

arcsin(x)=π/6

3. Apply the sine function to both sides to solve for x

x=sin(π/6)

4. Evaluate the sine of π/6 using the unit circle or trigonometric values.

x=1/2

Final Answer

12*arcsin(x)=2*π⇒x=1/2

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