A nonquadrantal angle is an angle in angle standard position whose terminal side lies on
neither the x-axis nor the y-axis.
Equivalently, its measure is not an integer multiple
of 
.
Every nonquadrantal angle has an acute angle as its
reference angle.
Nonquadrantal Angle
See also
Angle, Angle Standard Position, Quadrantal Angle, Reference Angle, Terminal SideExplore with Wolfram|Alpha
References
Abramson, J. "Angles." §7.1 in Algebra and Trigonometry. Houston, TX: OpenStax, 2015. https://openstax.org/books/algebra-and-trigonometry/pages/7-1-angles.Pearson. "The Unit Circle and the Functions of Trigonometry." https://www.pearson.com/channels/precalculus/study-guides/chapter-9-the-unit-circle-and-2.Cite this as:
Weisstein, Eric W. "Nonquadrantal Angle." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NonquadrantalAngle.html