Solve for x cos(x)=1

Problem

cos(x)=1

Solution

1. Identify the values on the unit circle where the x-coordinate (cosine) is equal to 1

2. Determine the principal solution within the interval [0,2*π) which occurs at x=0

3. Account for the periodicity of the cosine function, which repeats every 2*π radians.

4. Generalize the solution by adding integer multiples of 2*π to the principal solution.

Final Answer

cos(x)=1⇒x=2*π*n,n∈ℤ

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