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Angle notation or phasor notation is a notation used in electronics using the   sign. It is an abbreviation that arose due to the frequent occurrence of the expression e j ?. There is also usually an implied conversion from degrees to radians. For example:

The quantity A•e j ? represents a phasor
Phasor (electronics)

In physics and engineering, a phase vector is a representation of a sine wave whose amplitude , phase , and frequency are time-invariant. It is a subset of a more general concept called analytic signal....
, with amplitude A and phase angle
Phase angle

In the context of vectors and Phasor , the term phase angle refers to the angular component of the polar coordinate representation. The notation   for a vector with magnitude A and phase angle ?, is called angle notation....
 ?, which can be interpreted as the polar coordinates of a vector.






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Angle notation or phasor notation is a notation used in electronics using the   sign. It is an abbreviation that arose due to the frequent occurrence of the expression e j ?. There is also usually an implied conversion from degrees to radians. For example:

The quantity A•e j ? represents a phasor
Phasor (electronics)

In physics and engineering, a phase vector is a representation of a sine wave whose amplitude , phase , and frequency are time-invariant. It is a subset of a more general concept called analytic signal....
, with amplitude A and phase angle
Phase angle

In the context of vectors and Phasor , the term phase angle refers to the angular component of the polar coordinate representation. The notation   for a vector with magnitude A and phase angle ?, is called angle notation....
 ?, which can be interpreted as the polar coordinates of a vector. The corresponding rectangular coordinates of the 90° example above are:  (0,1).

Rectangular form simplifies the addition or subtraction of vectors and complex numbers. Polar form simplifies multiplication and division.

For example, the vector product of (X1, Y1) and (X2, Y2) and the product of complex numbers X1+iY1 and X2+iY2 are respectively:

  and  

With these associations: Xk = Ak cos(?k)  and  Yk = Ak sin(?k), where Ak =0,  we can write the products more simply as:

    and

Similarly,

But in rectangular coordinates: