Question

2cosx tanx+ √3 tanx =0

Answer 1

Factor out tan x:

tan x(2 cos x + sqrt(3)) = 0

Set each factor equal to 0, you get

tan x = 0 and cos x = -sqrt(3)/2

You didnt give an interval for angle x.

but tan x = 0 at x = 0, pi, 2pi

cos x = - sqrt(3)/2 when x = 5pi/6 and 7pi/6

I used interval [0,2pi]

Answer 2

nice! yea the interval was between (0, 2pi)

Answer 3

Thought so....but if it is the OPEN interval (0,2pi), then exclude 0 and 2pi as it is not in the OPEN interval (0,2pi).

My answers were based on the closed interval [0,2pi].

Answer 4

sorry about that yea it was [0,2pi)

Answer 5

the include 0, exclude 2pi

Answer 6

Thanks a bunch! :)

Answer 7

welcome.