Solutions of tan x equals tan a/Examples

Examples of Use of Solutions of $\tan x = \tan a$

Solutions of $2 \sec^2 x = 5 \tan x$

The equation

$2 \sec^2 x = 5 \tan x$

has the general solution:

$\set {n \pi + \arctan \dfrac 1 2: n \in \Z} \cup \set {n \pi + \arctan 2: n \in \Z}$

where $\arctan$ denotes the (real) arctangent function.

Solutions of $\tan^2 x - 3 \tan x + 2 = 0$

Solutions of tan x equals tan a/Examples/tan squared x minus 3 tan x plus 2 equals 0