# 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 , express in trigonometric form.

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**Q13: **

Given that and , determine .

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**Q16: **

Given that and that , find .

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**Q17: **

What is the magnitude of the product of and ?

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**Q19: **

If , what is ?

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**Q20: **

Given that , find .

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**Q21: **

Given that , where is an integer, find .

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**Q22: **

Given that and , where and , find , giving your answer in algebraic form.

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**Q23: **

Given that where principal argument , and where principal argument , find .

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**Q24: **

Express in the form .

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**Q25: **

Given that and , determine .

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