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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