HP 40gs HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 186
The ‘Complex’ group of functions, format and a, b format as shown right. In the example right
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The 'Complex' group of functions Complex numbers on the hp 39gs & hp 40gs can be entered in either of two ways. Firstly, in the same way as they are commonly written in mathematical workings: a + bi. Secondly, as an ordered pair: (a,b). For example, 3 + 2i could be entered into the calculator exactly as it is written, with the 'i' obtained using SHIFT ALPHA to get a lowercase i. Alternatively you can enter it directly as an ordered pair. As soon as you press ENTER, the calculator immediately converts the a + bi form into an ordered pair. The History retains the original in case you need to it later for re-use. The exception is when you enter a complex number in polar form using the (angle) sign on the keyboard (above the button). When you do this the calculator converts into the two other common forms of rcis format and (a,b) format as shown right. In the example right, the lowest line shows how the number was been entered. The first two lines show how the result is stored in the History as rcis format and as (a,b) format. Complex numbers can be used with all trigonometric and hyperbolic function, as well as with matrices, lists and some real-number and keyboard functions. Just as real numbers can be stored into the alphabetic memories A to Z, there are 10 special memories Z1,Z2..Z9,Z0 which are provided to store complex numbers. 186
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