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Worksheet: Operations with Complex Numbers in Polar Form

Q1:

Given that , find in exponential form.

  • A
  • B
  • C
  • D

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

Q3:

Given that and , find in polar form.

  • A
  • B
  • C
  • D
  • E

Q4:

What is the argument of the product of and ?

  • A
  • B
  • C
  • D
  • E

Q5:

Express in the form .

  • A
  • B
  • C
  • D

Q6:

Express in the form .

  • A
  • B
  • C
  • D

Q7:

Given that , find .

Q8:

Given that and , find in trigonometric form.

  • A
  • B
  • C
  • D

Q9:

Given that and , find in trigonometric form.

  • A
  • B
  • C
  • D

Q10:

Given that , find .

  • A
  • B
  • C
  • D

Q11:

Given that and , find .

  • A
  • B
  • C
  • D
  • E

Q12:

Given that and , find .

  • A
  • B
  • C
  • D
  • E