Complex Numbers
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The calculator performs the following complex number calculations:
| • | Addition, subtraction, multiplication, and division |
| • | Argument and absolute value calculations |
| • | Reciprocal, square, and cube calculations |
| • | Complex Conjugate number calculations |
Setting the Complex Format
Set the calculator to DEC mode when computing with complex numbers.
q $ $ $ Selects the REAL menu. Use ! and " to scroll with in the REAL menu to highlight the desired complex results format a+bi, or r±q, and press <.
REAL, a+bi, or r±q set the format of complex number results.
a+bi rectangular complex results
r±q polar complex results
Notes:
| • | Complex results are not displayed unless complex numbers are entered. |
| • | To access i on the keypad, use the multi-tap key g. |
| • | Variables x, y, z, t, a, b, c, and d are real or complex. |
| • | Complex numbers can be stored. |
| • | For conj(, real(, and imag(, the argument can be in either rectangular or polar form. The output for conj( is determined by the mode setting. |
| • | The output for real( and imag( are real numbers. |
| • | Set mode to DEGREE or RADIAN depending on the angle measure needed. |
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Complex Menu |
Description |
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1:± |
± (polar angle character) Lets you paste the polar representation of a complex number (such as 5±p). |
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2:polar angle |
Returns the polar angle of a complex number. Syntax: angle(value) |
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3:magnitude |
Returns the magnitude (modulus) of a complex number. Syntax: abs(value) (or |þ| in MathPrint™ mode) |
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4:4r±q |
Displays a complex result in polar form. Valid only at the end of an expression. |
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5:4a+bi |
Displays a complex result in rectangular form. Valid only at the end of an expression. |
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6:conjugate |
Returns the conjugate of a complex number. Syntax: conj(value) |
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7:real |
Returns the real part of a complex number. Syntax: real(value) |
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8:imaginary |
Returns the imaginary (nonreal) part of a complex number. Syntax: imag(value) |
Examples (set mode to RADIAN)
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Polar angle character: ± |
- 5 % < g P 2 < |
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Polar angle: angle( |
- % $ < 3 T 4 g g g ) < |
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Magnitude: abs( |
- % 3 ( 3 T 4 g g g ) < |
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4r±q |
- 3 T 4 g g g % 4 < |
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4a+bi |
- 5 % < 3 g P 2 " % 5 < |
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Conjugate: conj( |
- % 6 5 U 6 g g g ) < |
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Real: real( |
- % 7 5 U 6 g g g ) < |
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