Polar_ and Rectangular_coordinates

03232015, 08:07 PM
Post: #1




Polar_ and Rectangular_coordinates
The polar_coordinates command changes a complex number
to polar form. For example polar_coordinates(1+1*i) produces the number [1.414 45]. However, further manipulation on this number is not treated as a complex number. For example (0.5+0.5*i)*polar_coordinates(1+1*i) results in [0.707+0.707*i 22.5+22.5*i] What is happening is that the program is multiplying the 1.414 by (0.5+0.5*i) and the 45 by (0.5+0.5*i). Hence, it is treating the polar_coordinates result as a matrix entry of two numbers. You would expect the correct answer to be 0+1*i or simply i. That is (0.5+0.5*i)*(1+1*i)=0+1*i. The same thing happens if you enter (0.5+0.5*i) in polar form and multiply this number by a polar_coordinates result. It also happens when you use the rectangular_coordinates command. I have found that in a program the best way to change to polar coordinates is to multiply a complex number by 1⌊0. For example (1⌊0)*(1+1*i) results in 1.414⌊45. Then, (1.414⌊45)*(0.5+0.5*i) produces 1⌊90 (in polar form). and (0.5+0.5*i)*(1.414⌊45) produces 1*i (in rectangular form). Comments are welcome. 

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