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CALCULATOR AND COMPUTER METHODS WITH COMPLEX NUMBERS ⏐⏐⏐ 609
FIG. 14.59
Using Mathcad to convert from rectangular to polar form.
the magnitude of the polar form is defined followed by the conversion
of the angle of 60° to radians by multiplying by the factor p�180 as
shown in Fig. 14.60. In this example the resulting angular measure is
p�3 radians. Next the rectangular format is defined by a real part X �
Z cos v and by an imaginary part Y � Z sin v. Both the cos and the sin
are obtained by the sequence Insert-f(x)-trigonometric-cos(or sin)-
OK. Note the multiplication by j which was actually entered as 1j.
Entering C again followed by an equal sign will result in the correct
conversion shown in Fig. 14.60.
The next format is based on the mathematical relationship that e jv �
cos v � j sin v. Both Z and v are as defined above, but now the complex
number is written as shown in Fig. 14.60 using the notation just introduced.
Note that both Z and v are part of this defining form. The e x is
obtained directly from the Calculator toolbar. Remember to enter the j
as 1j without a multiplication sign between the 1 and the j. However,
there is a multiplication operator placed between the j and v. When
entered again followed by an equal sign, the rectangular form appears
to match the above results. As mentioned above, it is this latter format
that will be used throughout the text due to its cleaner form and more
direct entering path.
The last example using Mathcad will be a confirmation of the results
of Example 14.26(b) as shown in Fig. 14.61. The three complex numbers
are first defined as shown. Then the equation for the desired result