Find the general solution of each of the following equations:
tan3 x – 3tan x = 0
To Find: General solution.
Given: tan3 x – 3tan x = 0 tan x(tan2 x – 3) = 0
tan x = 0 or tanx =
tan x = 0 or tanx = tan(
) or tan x = tan(
)
Formula used: tan
= 0
= n
, n
I, tan
= tan
= k
, k
I
So x = n or x = k
+
or x = p
+
where n, k, p
I
So general solution is x = n or x = k
+
or x = p
+
where n, k, p
I