Solve for x cos(x)-1=0

Problem

cos(x)−1=0

Solution

1. Isolate the trigonometric function by adding 1 to both sides of the equation.

cos(x)=1

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

x=0,2*π,4*π,…

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

x=2*n*π

Final Answer

cos(x)−1=0⇒x=2*n*π,n∈ℤ

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