Evaluate tan(120)

Problem

tan(120)

Solution

1. Identify the reference angle by finding the distance from the angle to the nearest x-axis.

(θ_ref)=180−120=60

2. Determine the quadrant of the angle 120

Quadrant II

3. Apply the sign of the tangent function in the second quadrant, where tangent is negative.

tan(120)=−tan(60)

4. Substitute the known value for the tangent of 60

tan(60)=√(,3)

Final Answer

tan(120)=−√(,3)

Want more problems? Check here!