PHASE function

Description

PHASE(A) returns the phase angle (or angular component) of the complex number A, expressed in radians. This is the Excel IMARGUMENT function.

The argument A can be a real number, a complex number or a matrix. When it is a matrix, the function returns a matrix with the same dimensions and with the PHASE function applied to all elements.

$$ phase(a+bi) = asin\left(b / abs(a+bi) \right) $$

Visual representation

Phase of a complex number

Example

PHASE(2+3i) returns 0.982793723

PHASE(pi()*1i) returns 1.570796327

PHASE(3) returns 0.

PHASE function

Description

Visual representation

Example

Calculator

See also