Solve for x tan(x)=1/( square root of 3)

Problem

tan(x)=1/√(,3)

Solution

1. Identify the standard values for the tangent function on the unit circle.

2. Determine the reference angle by finding the value of x in the first quadrant where tan(x)=1/√(,3)

3. Recall that tan(π/6)=1/√(,3) so the reference angle is π/6

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

5. State the general solution by adding integer multiples of π to the reference angle.

Final Answer

tan(x)=1/√(,3)⇒x=π/6+n*π,n∈ℤ

Want more problems? Check here!