The smallest positive angle in the first quadrant whose tangent is 1 is 45° or
. You can add 180° or
to this angle as many times as you like.
That will put it in the 3rd quadrant, where the tangent is also positive if
you add an odd number times 180° or
, and back into the first
quadrant if you add an even number times 180° or
.
Answer: If in degrees, 45° + 180°n
If in radians, 

,
where n is any integer, positive, negative or zero.
Edwin