Solve for x cos(2x)=1

Problem

cos(2*x)=1

Solution

1. Identify the general solution for the cosine function when it equals 1.

cos(θ)=1⇒θ=2*n*π

where n is any integer.

2. Substitute the argument of the cosine function, which is 2*x into the general solution formula.

2*x=2*n*π

3. Isolate the variable x by dividing both sides of the equation by 2.

x=(2*n*π)/2

4. Simplify the expression to find the final general solution.

x=n*π

Final Answer

cos(2*x)=1⇒x=n*π

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