Trig Form of Complex Numbers
Authored by Matt Manzke
Mathematics
11th - 12th Grade
CCSS covered
Used 65+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Write the complex number in polar form
Tags
CCSS.HSN.CN.B.4
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Express the point in polar form in rectangular form.
4 ( cos π /3 + i sin π /3)
Tags
CCSS.HSN.CN.B.4
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the indicated power using DeMoivre's Theorem
Tags
CCSS.HSN.CN.B.4
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find
5(cos 2π /3 + i sin 2π /3)⋅2( cos π /3 + i sin π /3)
in trig form. Then express your final answer in rectangular form.
-10
10
-10i
10i
Tags
CCSS.HSN.CN.B.4
5.
MULTIPLE SELECT QUESTION
15 mins • 1 pt
If z = 2(cos(20o) + isin(20o)) and w = 3(cos(105o) + isin(105o)), find z / w. Choose all that apply.
2/3(cos(225o) + isin(225o))
2/3(cos(275o) + isin(275o))
3/2(cos(85o) + isin(85o))
6(cos(125o) + isin(125o))
Tags
CCSS.HSN.CN.B.4
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the absolute value of the complex number. Also state what quadrant the point would land in.
2 + 3i
Tags
CCSS.HSN.CN.B.6
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Express the complex number in trigonometric (polar) form.
-2 + 5i
Tags
CCSS.HSN.CN.B.4
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