# Lesson Worksheet: Operations on Complex Numbers in Polar Form Mathematics • 12th Grade

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

Q1:

Given that and , find .

• A
• B
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• D
• E

Q2:

Given that and , determine .

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Q3:

If , , and , then what is ?

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• D112

Q4:

Given that and , find .

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Q5:

Given that and , find in polar form.

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Q6:

Given that , , , and , find .

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Q7:

Given that , find .

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Q8:

Consider the complex number .

Find the modulus of .

Find the argument of .

• A2
• B
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• E

Hence, use the properties of multiplication of complex numbers in polar form to find the modulus and argument of .

• Amodulus = 8, argument =
• Bmodulus = , argument =
• Cmodulus = 8, argument =
• Dmodulus = , argument=
• Emodulus = , argument =

Hence, find the value of .

Q9:

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

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Q10:

Given that and , where , determine the trigonometric form of .

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