Solve for x cos(x)+1=0

Problem

cos(x)+1=0

Solution

1. Isolate the trigonometric term by subtracting 1 from both sides of the equation.

cos(x)=−1

2. Identify the values of x on the unit circle where the x-coordinate is −1

x=π

3. Generalize the solution to include all possible rotations by adding multiples of 2*π where n is any integer.

x=π+2*n*π

Final Answer

cos(x)+1=0⇒x=π+2*n*π

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