Solve for x tan(2x)- square root of 3=0

Problem

tan(2*x)−√(,3)=0

Solution

1. Isolate the trigonometric function by adding √(,3) to both sides of the equation.

tan(2*x)=√(,3)

2. Identify the reference angle for which the tangent function equals √(,3)

tan(π/3)=√(,3)

3. Apply the general solution formula for the tangent function, tan(θ)=tan(α)⇒θ=α+n*π where n is any integer.

2*x=π/3+n*π

4. Solve for x by dividing the entire equation by 2

x=π/6+(n*π)/2

Final Answer

tan(2*x)−√(,3)=0⇒x=π/6+(n*π)/2

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