Polar Form of Complex Numbers
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The modulus of a real number, n, is equal to _____.
|n|
Which of the following statements best describes the modulus of a complex number? Select all that apply.
- the absolute value of a complex number - the distance that a complex number is from the pole - the distance that a complex number is from the origin
What is the modulus of 5 + 3i?
√34
If z = √5 - √2i, then |z| = _____.
√7
Express 2/3(cos300° + isin300°) in a + bi form.
1/3 - √3/3i
What is the argument of -1 + √3i?
120°
Express 4(cosπ/6 + isinπ/6) in a + bi form.
2√3 + 2i
Express -2 √2- 2√2i in polar form.
4(cos225° + isin225°)
Express -9i in polar form.
9(cos3π/2 + isin3π/2)
In which quadrant does 8(cos2π/3 + isin2π/3) lie?
II
In which quadrant does 2 - 7i lie?
IV
