# Worksheet: Operations on Complex Numbers in Polar Form

In this worksheet, we will practice performing calculations with complex numbers in polar form.

**Q2: **

What do we need to do to multiply two complex numbers in polar form?

- Amultiply their moduli together and add their arguments
- Badd their moduli together and multiply their arguments
- Cmultiply their moduli together and multiply their arguments
- Dadd their moduli together and add their arguments
- Emultiply their moduli together and subtract their arguments

**Q4: **

What is the argument of the product of and ?

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**Q6: **

Given that and , find .

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**Q8: **

Given that , , and , where , find .

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**Q14: **

Given that and , determine .

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**Q17: **

Given that and that , find .

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**Q18: **

What is the magnitude of the product of and ?

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**Q19: **

Given that principal argument of and principal argument of , determine the principal argument of .

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**Q20: **

Given that the principal argument of and the principal argument of , determine the principal argument of .

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**Q21: **

Given that principal argument , determine principal argument .

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**Q23: **

If , what is ?

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**Q24: **

Given that , find .

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**Q25: **

Given that , find .

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