SOLUTION: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. -sqrt(3)tan(

Question 183064This question is from textbook
: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible.
-sqrt(3)tan(3x) = -1
Any help is greatly appreciated! I am really struggling just to get these problems started. This question is from textbook

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible.
-sqrt(3)tan(3x) = -1
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It's just a matter of working it out.
-sqrt(3)tan(3x) = -1
tan(3x) = 1/sqrt(3)
3x = n*180 + 30�
x = n*60 + 10� (in degrees)
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x = n*pi/3 + pi/18 radians
x = pi*(6n+1)/18 radians
n = 0,1,2,3...
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