Solve for x tan(x)=( square root of 3)/3

Problem

tan(x)=√(,3)/3

Solution

1. Identify the reference angle in the first quadrant where the tangent function equals √(,3)/3

tan(π/6)=√(,3)/3

2. Recall the general solution for the tangent equation tan(x)=a which is x=arctan(a)+n*π for any integer n

x=π/6+n*π

3. Define the variable n as an element of the set of integers to complete the general solution.

n∈ℤ

Final Answer

tan(x)=√(,3)/3⇒x=π/6+n*π,n∈ℤ

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