To solve this problem, the first thing we can do is to take out 7 tan (x) from the whole equation, this results in simplification:
7 * tan (x) * (tan (x)^2 - 3) = 0
Therefore the initial roots are taken from:
tan (x) = 0
Calculating for x:
x = 0, pi
The other roots can be taken from:
(tan (x)^2 - 3) = 0
Calculating for x:
tan (x)^2 = 3
tan (x) = ± sqrt (3)
x = pi/3 , 2pi/3 , 4pi/3 , 5pi/3
Therefore the solutions are:
0 , pi, pi/3 , 2pi/3 , 4pi/3 , 5pi/3
