Angle notation

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Angle notation or phasor notation is a notation used in electronics.  1\ang \theta can represent either the vector  (\cos \theta, \sin \theta)\,  or the complex number  \cos \theta + j \sin \theta = e^{j\theta},\,  both of which have magnitudes of 1.  A vector whose polar coordinates are magnitude  A  and angle  \theta  is written  A \ang \theta.[1]    For converting between polar and rectangular forms, see Converting between polar and Cartesian coordinates.

In electronics and electrical engineering, there may also be an implied conversion from degrees to radians. For example  1\ang 90  would be assumed to be  1\ang 90^\circ,  which is the vector  (0,1)\,  or the number  e^{j\pi/2}.\,


  1. ^ Nilsson, James William; Riedel, Susan A. (2008). Electric circuits (8th ed.). Prentice Hall. p. 338. ISBN 0-13-198925-1. , Chapter 9, page 338