
Trig question
A fairly simple equation by the looks of it but one I dont have a clue how to solve, somebody give me a hand please:
46/27 = tan(1.5x)/tan(x)
I've managed to get the solution graphically, but how would it be done algebraically, is there an important trig identity I shoud know?
Thanks a lot.

i assume you are solving for x? or what?

Yeah, I'm trying to solve for x (in radians).

man, I hate radians! hense I don't like the trig functions that came standard with my compiler.

tan(1.5x) =
tan(x + .5x) =
(tan (x) + tan(.5x))/(1tan(x)tan(.5x))
or
(sin(x)cos(.5x)+cos(x)sin(.5x)) / (cos(x)cos(.5x)sin(x)sin(.5x))
so divide that by tan(x) and reduce reduce reduce :)