SOLUTION: Solve for x on the interval [0,2rad]: tan(3x)=(- sq rt 3)/(3) If I convert the answer into degrees and find it to be 10 degrees, how can I ensure I find all of the possible answ

Algebra ->  Trigonometry-basics -> SOLUTION: Solve for x on the interval [0,2rad]: tan(3x)=(- sq rt 3)/(3) If I convert the answer into degrees and find it to be 10 degrees, how can I ensure I find all of the possible answ      Log On


   

Question 878802: Solve for x on the interval [0,2rad]: tan(3x)=(- sq rt 3)/(3)
If I convert the answer into degrees and find it to be 10 degrees, how can I ensure I find all of the possible answers. Currently I understand how to get a few of the correct answers but am missing a few of the radian answers?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

tan = sin/cos = -(1/2)/(√3/2) = -1/(√3 =  -√3/3

3x = 150°   0r 3x = 330°

 x = 50°  0r x = 110°

(cosx, sinx) Unit Circle summary for Reference