Find all solutions to the equation tan x=1?

Question

possible answers are the following:
a. x=pi/4 +piN
b. x=pi/4 + 2piN
c. x=3pi/4 + piN
d. x=3pi/4 + 2piN

Answer 1

The tan is positive in Quadrants I and III. Therefore the angles are 45 degrees = pi/4 and 225 degrees = 5pi/4.

x = pi/4 +2piN and 5pi/4 +2piN.

So none of the given answers is correct.

pi/4 = piN is correct only if we are restricting ourselves to the range 0 =