Find the Exact Value tan(330 degrees )

Problem

tan(330)

Solution

1. Identify the reference angle by finding the distance from the angle to the nearest x-axis. Since 330 is in the fourth quadrant, subtract it from 360

(θ_ref)=360−330

(θ_ref)=30

2. Determine the sign of the tangent function in the fourth quadrant. In the fourth quadrant, cosine is positive while sine and tangent are negative.

tan(330)=−tan(30)

3. Substitute the known exact value for the tangent of 30

tan(30)=√(,3)/3

4. Apply the negative sign to find the final value.

tan(330)=−√(,3)/3

Final Answer

tan(330)=−√(,3)/3

Want more problems? Check here!