ausmathgenius420
New member
- Joined
- Aug 5, 2021
- Messages
- 44
Hi, I was wondering if there is any convention when determining the general solution for trig equations.
The problem is [math]tan(2x)= -\sqrt3[/math]
Using the general solution for tanx=a the next line of working should be:
[math]2x=n\pi + arctan( -\sqrt3)[/math]
My question is what should I set [imath]arctan(-\sqrt3)[/imath] to?.. My textbook uses [imath]- \frac{\pi}{3}[/imath] however it could also be 2pi/3 or 5pi/3 if you only use positive angles. Does it matter which angle I use? - I know they will all give me the same answers but is one technically correct?
The problem is [math]tan(2x)= -\sqrt3[/math]
Using the general solution for tanx=a the next line of working should be:
[math]2x=n\pi + arctan( -\sqrt3)[/math]
My question is what should I set [imath]arctan(-\sqrt3)[/imath] to?.. My textbook uses [imath]- \frac{\pi}{3}[/imath] however it could also be 2pi/3 or 5pi/3 if you only use positive angles. Does it matter which angle I use? - I know they will all give me the same answers but is one technically correct?