Solve for x sin(4x)=0

Problem

sin(4*x)=0

Solution

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

sin(θ)=0⇔θ=n*π

where n is any integer (n∈ℤ.

2. Substitute the argument of the sine function, 4*x into the general solution formula.

4*x=n*π

3. Isolate the variable x by dividing both sides of the equation by 4

x=(n*π)/4

Final Answer

sin(4*x)=0⇒x=(n*π)/4,n∈ℤ

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