Find the general solution of each of the following equations:
tan³ x – 3tan x = 0

Question

Find the general solution of each of the following equations: tan 3 x – 3tan x = 0

Philoid · Accepted Answer

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

Find the general solution of each of the following equations:tan3 x – 3tan x = 0