Solve for x 2cos(2x)=0

Problem

2*cos(2*x)=0

Solution

1. Divide both sides of the equation by 2 to isolate the trigonometric function.

2*cos(2*x)=0

cos(2*x)=0

2. Identify the values where the cosine function equals zero on the unit circle.

cos(θ)=0⇒θ=π/2+n*π

where n is any integer.

3. Substitute the argument 2*x for θ to set up the general solution.

2*x=π/2+n*π

4. Solve for x by dividing the entire equation by 2

x=π/4+(n*π)/2

Final Answer

x=π/4+(n*π)/2

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