Solve for x cos(3x)=1

Problem

cos(3*x)=1

Solution

1. Identify the general solution for the cosine function when it equals 1. The cosine of an angle is 1 when the angle is an integer multiple of 2*π

cos(θ)=1⇒θ=2*n*π

where n is any integer.

2. Substitute the argument of the cosine function, which is 3*x into the general solution formula.

3*x=2*n*π

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

x=(2*n*π)/3

Final Answer

cos(3*x)=1⇒x=(2*n*π)/3

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