How do I find the value of tan 330?

Question

58114 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-19T04:53:52

Find tan 330 deg

Ans: #-sqrt3/3#

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#

Answer 2 · 2017-07-07T08:16:43

#tan 330° = -1/sqrt3#

#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#