Solve for x cos(x)=-1

Problem

cos(x)=−1

Solution

1. Identify the unit circle values where the cosine function equals −1

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

3. Generalize the solution to include all possible values of x by adding integer multiples of the period 2*π

4. State the solution using an integer n to represent any whole number.

Final Answer

cos(x)=−1⇒x=π+2*n*π,n∈ℤ

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