Solve for x cos(2x)=0

Problem

cos(2*x)=0

Solution

1. Identify the general solution for the cosine function where the output is zero.

cos(θ)=0⇒θ=π/2+n*π

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

2*x=π/2+n*π

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

x=π/4+(n*π)/2

4. Specify that n represents any integer to complete the general solution.

n∈ℤ

Final Answer

cos(2*x)=0⇒x=π/4+(n*π)/2,n∈ℤ

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