Question

How do you solve `tan(x)^2=2tan(x)`?

Answer 1

General solution:
`x = n pi " or " x = npi + 1.11 "(3sf)", " " n in ZZ`

Explanation:

If the question meant
`tan^2 x = 2 tan x`

Re-arrange above equation:
`tan x(tan x-2) = 0`
[Do not divide the initial equation by `tan x` as you will be removing a set of solutions. This is a common mistake.]

`tan x = 0 " or " tan x = 2`

General solution:
`x = n pi " or " x = npi + 1.11 "(3sf)", " " n in ZZ`