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.Com
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)   (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


RELATED QUESTIONS

Solve the equations using the sq rt property {{{(3x-3)^2=81)}}} 3x-9= +/ sq rt 81 (answered by jim_thompson5910,mananth,josmiceli,Edwin McCravy)
I would appreciate it if someone could help me out with this problem: Solve the... (answered by Alan3354)
if measure of angle A=60 degrees and side AB=5, then side BC=? It is a right triangle... (answered by mananth)
This is a 3-part question. 1) Solve the following equation. Which of its values from... (answered by solver91311)
Determine the two angles between 0 degrees and 360 degrees that have a cosecant of -... (answered by Alan3354)
Cos(-540 degrees) - tan 405 degrees. I converted the degrees into radians to find the... (answered by Theo)
Can you tell me if I have done this correctly? For the function f(x)=(3-4x)^2, find... (answered by Alan3354)
solve for all values of theta in the interval 0 degrees less than theta less than 360... (answered by lwsshak3)
I have a question on Applications of Trigonometric Functions and Polar Coordinates.... (answered by solver91311)