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

Problem

tan(x)=√(,3)

Solution

1. Identify the basic trigonometric equation to be solved, which is tan(x)=√(,3)

2. Determine the reference angle by finding the value in the first quadrant where the tangent function equals √(,3)

tan(π/3)=√(,3)

3. Apply the general solution formula for the tangent function, which has a period of π

x=π/3+n*π

4. Define the variable n as any integer to represent all possible solutions.

n∈ℤ

Final Answer

tan(x)=√(,3)⇒x=π/3+n*π,n∈ℤ

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