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Worksheet: Operations with Complex Numbers in Polar Form
Q1:
Given that , find in exponential form.
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Q2:
What do we need to do to multiply two complex numbers in polar form?
- Aadd their moduli together and multiply their arguments
- Badd their moduli together and add their arguments
- Cmultiply their moduli together and multiply their arguments
- Dmultiply their moduli together and add their arguments
- Emultiply their moduli together and subtract their arguments
Q4:
Given that , find .
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Q5:
Given that and , find .
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Q6:
Given that and , find .
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Q7:
Given that and , find .
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Q8:
Given that , , , and , find .
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Q9:
Given that , , and , where , find .
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Q10:
Given that and , find the exponential form of .
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Q11:
Given that and , find , giving your answer in exponential form.
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Q12:
If , , and , then what is ?
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- B112
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Q13:
Simplify , giving your answer in trigonometric form.
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Q14:
Given that and , find .
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Q15:
Given that and , where , determine the trigonometric form of .
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Q16:
Given that and , determine .
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Q17:
If and , is it true that ?
- Ayes
- Bno
Q18:
Given that and , determine .
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Q19:
Given that and , find .
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Q20:
Given that and that , find .
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Q21:
Given that , find , giving your answer in exponential form.
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Q22:
Given that , find , giving your answer in exponential form.
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Q23:
Given that and , find , giving your answer in exponential form.
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Q24:
If , , and , what is the exponential form of ?
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Q25:
Given that , find in exponential form.
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