Chapter 2: Main Application  70
Using the Complex Submenu
The [Complex] submenu contains commands that relate to calculations that involve complex numbers.
u arg [Action][Complex][arg]
Function: Returns the argument of a complex number.
Syntax: arg (Exp/Eq/List/Mat [ ) ]
Example: To obtain the argument of complex 2 +
i (in the Radian mode)
u conjg [Action][Complex][conjg]
Function: Returns the conjugate complex number.
Syntax: conjg (Exp/Eq/Ineq/List/Mat [ ) ] (Ineq: Real mode only)
Example: To obtain the conjugate of complex number 1 +
i
u re [Action][Complex][re]
Function: Returns the real part of a complex number.
Syntax: re (Exp/Eq/Ineq/List/Mat [ ) ] (Ineq: Real mode only)
Example: To obtain the real part of complex number 3 – 4
i
u im [Action][Complex][im]
Function: Returns the imaginary part of a complex number.
Syntax: im (Exp/Eq/Ineq/List/Mat [ ) ] (Ineq: Real mode only)
Example: To obtain the imaginary part of complex number 3 – 4
i
u cExpand [Action][Complex][cExpand]
Function: Expands a complex expression to rectangular form (a + bi).
Syntax: cExpand (Exp/Eq/List/Mat [ ) ]
• The variables are regarded as real numbers.
Example: To expand cos
–1
(2) (in the Radian mode)
u compToPol [Action][Complex][compToPol]
Function: Transforms a complex number into its polar form.
Syntax: compToPol (Exp/Eq/List/Mat [ ) ]
• When the argument is Mat (Matrices), calculation can be performed using the Radian angle unit only.
Example: To transform 1 +
i into its polar form
Radian mode Degree mode Grad mode
u compToTrig [Action][Complex][compToTrig]
Function: Transforms a complex number into its trigonometric/hyperbolic form.
Syntax: compToTrig (Exp/Eq/List/Mat [ ) ]
Example: To transform 1 +
i into its trigonometric form (in the Radian mode)
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