MATH C30
posted by don .
Solve cosxtanx + sqroot3cosx  sqroot3/2tanx  3/2 = 0
interval 0 to 2 pi
exact answers and formula for the general solution as well as the specific solutions.
Sorry Steve, missed it last night.

If I'm reading it right, we have
cos tan + √3 cos  √3/2 tan  3/2 = 0
rearrange terms a bit to get
tan(cos  √3/2) + √3(cos  √3/2) = 0
(tan + √3)(cos  √3/2) = 0
tan x = √3 > x = 2pi/3 or 4pi/3
x = (2k+1)*pi +/ pi/3
cos x = √3/2 > x = pi/6 or 11pi/6
x = k*2pi +/ pi/6