Solve for x tan(2x)=0

Problem

tan(2*x)=0

Solution

1. Identify the general solution for the tangent function where it equals zero. The equation tan(θ)=0 occurs when the argument θ is an integer multiple of π

θ=n*π

2. Substitute the argument from the given equation, which is 2*x into the general solution formula.

2*x=n*π

3. Solve for x by dividing both sides of the equation by 2

x=(n*π)/2

4. Define the variable n as any integer to complete the general solution.

n∈ℤ

Final Answer

tan(2*x)=0⇒x=(n*π)/2,n∈ℤ

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