Practice Polar Form Of Complex Numbers And Exponential Notation (5.5)

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6 sample questions

Question 1.
Express the complex number 1 + i in polar form.
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Use the modulus and argument definitions.
Question 2.
What is the modulus of the complex number z = 3 - 4i?
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Remember to square both parts of the complex number.
3Question 3.
What is the polar form of a complex number?
- z = re^{iθ}
- z = x + iy
- z = r(cos θ + i sin θ)
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Recall how the polar form is defined.
4Question 4.
The modulus of the complex number z = 3 + 4i is:
- True
- False
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Can you find the distance from the origin?
Question 5.
Given a complex number z = 1 + √3i, find its polar form and compute z^6.
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Determine modulus and angle carefully, then raise to the sixth power.
Question 6.
Determine the fourth roots of z = -16 using polar form.
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Consider how to find both the modulus and the argument.

5 more questions in this section. Enroll free to practise them all.