Solve for x 2cos(3x-1)=0

Problem

2*cos(3*x−1)=0

Solution

1. Isolate the trigonometric term by dividing both sides of the equation by 2

cos(3*x−1)=0

2. Identify the values where the cosine function equals zero. The general solution for cos(θ)=0 is θ=π/2+n*π where n is any integer.

3*x−1=π/2+n*π

3. Solve for x by first adding 1 to both sides of the equation.

3*x=1+π/2+n*π

4. Divide the entire equation by 3 to isolate x

x=1/3+π/6+(n*π)/3

Final Answer

x=1/3+π/6+(n*π)/3

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