# Complex Number Functions - HP 40gs User Manual

Graphing calculator.

TAYLOR

## Complex number functions

ARG
CONJ
IM
Using mathematical functions
Example
(0,s1,2*X+3,X)
finds the indefinite result 3*s1+2*(s1^2/2)
See "To find the indefinite integral using formal
finding indefinite integrals.
Calculates the nth order Taylor polynomial of expression
at the point where the given variable = 0.
TAYLOR (expression, variable, n)
Example
TAYLOR(1 + sin(s1)
angle measure and Fraction number format (set in
MODES) returns 1+s1^2+-(1/3)*s1^4.
These functions are for complex numbers only. You can
also use complex numbers with all trigonometric and
hyperbolic functions, and with some real-number and
keyboard functions. Enter complex numbers in the form
(x,y), where x is the real part and y is the imaginary part.
Argument. Finds the angle defined by a complex number.
Inputs and outputs use the current angle format set in
Modes.
ARG((x, y))
Example
ARG((3,3)) returns 45 (Degrees mode)
Complex conjugate. Conjugation is the negation (sign
reversal) of the imaginary part of a complex number.
CONJ((x, y))
Example
CONJ((3,4)) returns (3,-4)
Imaginary part, y, of a complex number, (x, y).
IM ((x, y))
2
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