How do I find the value of tan 330?

2 Answers
Aug 19, 2015

Find tan 330 deg

Ans: -sqrt3/3

Explanation:

On the trig unit circle,
tan 330 = tan (-30 + 360) = tan (-30) = - tan 30
Trig table gives --> - tan 30 = - sqrt3/3
Therefor, tan 330 = - sqrt3/3

Jul 7, 2017

tan 330° = -1/sqrt3

Explanation:

330° is in the 4th quadrant.

Tan values are positive in the 1st and 3rd quadrants and negative in the 2nd and 4th quadrants.

However, they are all linked to the angle in the first quadrant. (theta)

330° = 360°-30°

tan 30° = 1/sqrt3

tan 330° = -tan 30° = -1/sqrt3