SOLUTION: Find all solutions of the equation in the interval [0,2π) 5 sqrt 3 tan x + 3 = 8 sqrt 3 tan x Thanks!

Question 1108678: Find all solutions of the equation in the interval [0,2π)
5 sqrt 3 tan x + 3 = 8 sqrt 3 tan x
Thanks!
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.

5*sqrt(3)*tan(x) + 3 = 8*sqrt(3)*tan(x)


subtract 5*sqrt(3)*tan(x) from both sides.  You will get


3 = 3*sqrt(3)*tan(x)


1 = sqrt(3)*tan(x)  ====>  tan(x) =  =   ====>


there are two and only two solutions in the given interval:  x=    and  x = .

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SOLUTION: Find all solutions of the equation in the interval [0,2&#960;) 5 sqrt 3 tan x + 3 = 8 sqrt 3 tan x Thanks!

SOLUTION: Find all solutions of the equation in the interval [0,2π) 5 sqrt 3 tan x + 3 = 8 sqrt 3 tan x Thanks!