Solve for x 6arccos(x)=pi

Problem

6*arccos(x)=π

Solution

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

arccos(x)=π/6

2. Apply the cosine function to both sides to solve for x using the property that cos(arccos(x))=x for x in the domain [−1,1]

x=cos(π/6)

3. Evaluate the cosine of π/6 using the unit circle or special right triangles.

x=√(,3)/2

Final Answer

x=√(,3)/2

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