Two non-coincident plane angles and
in angle standard
position are said to be coterminal if the terminal
side of
is identically the same as the terminal side of
.
In general, given a plane angle measured in radians,
is coterminal to
if and only if
for some positive
integer
.
Similarly, if
is a plane angle coterminal to a plane angle
measured in degrees, then
for some positive integer
. In the event that
, then
and
are coincident.
In the figure above, the non-coincident angles and
are coterminal angles.