Solutions of tan x equals tan a/Examples/2 sec squared x equals 5 tan x

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

Proof
Hence the result.