HP 35s Instruction Manual page 4

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HP 35s Working with complex numbers – part 2
wº^ºÍ¹=k
Answer: The X coordinate is approximately 4.33 and the Y coordinate is 2.5. Figures 4 and 5 show the display in
algebraic mode. Figures 6 and 7 show the display in RPN mode.
Example 3: Use the HP 35s to verify the triangle inequality for two complex numbers, which states that if z and w are
any two complex numbers, then |z + w| ≤ |z| + |w|.
Use the complex numbers z = 3 + 1i and w = -1+2i
Solution: 9
8Ë0
In RPN mode, compute |z + w| first.
61
The magnitude of the resulting complex number will be approximately 3.6. It is computed by pressing:
º^
In RPN mode, now compute |z| + |w|.
61º^
6
1
Answer: The results verify the triangle inequality. The individual magnitudes of the two complex numbers added
together is larger than the magnitude of the result from adding the complex numbers together.
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(Sets degrees mode)
6
1
º^
- 4 - HP 35s Working with complex numbers – part 2 - Version 1.0
Figure 7
Figure 8
Figure 9
Figure 10