Solve for x cos(3x)=0

Problem

cos(3*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

where n is any integer.

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

3*x=π/2+n*π

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

x=(π/2+n*π)/3

4. Simplify the expression to find the final general solution for x

x=π/6+(n*π)/3

Final Answer

cos(3*x)=0⇒x=π/6+(n*π)/3

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