Polar Coordinates and Complex Numbers
Authored by Anthony Clark
Mathematics
11th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Convert from polar coordinates, (20, 11π/6) to rectangular coordinates.
(-10√3, 10)
(10√3, -10)
(10, -10√3)
(10√2, -10)
Tags
CCSS.HSN.CN.B.4
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the rectangular coordinates of each polar point. (4, 3π/2)
(4,4)
(4,0)
(0,-4)
(0,1)
Tags
CCSS.HSN.CN.B.4
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find polar coordinates for the point:
(√3 , 1)
(2, π/6)
(-2, -π/6)
(1,0)
(4π,-2)
Tags
CCSS.HSN.CN.B.4
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Convert from rectangular to polar coordinates. (-4, 4)
(4√2, π/4)
(4√2, 3π/4)
(4√2, -π/4)
(-4√2, -7π/4)
Tags
CCSS.HSN.CN.B.4
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What complex number is shown on the graph?
(-2,-3)
Answer explanation
Since complex numbers can be graphed like rectangular coordinates in a complex plane, converting them to polar form is just like converting rectangular coordinates to polar form.
Tags
CCSS.HSN.CN.B.4
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the complex number in polar form
√50 (cos π/2 + i sin π/2)
50 (cos π/4 + i sin π/4)
√50 (cos 5π/4 + i sin 5π/4)
√50 (cos π/4 + i sin π/4)
Tags
CCSS.HSN.CN.B.4
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Express the point in polar form in rectangular form.
4 ( cos π /3 + i sin π /3)
2 + 2√3 i
2 + √3 i
2 - 2√3 i
-2 + 2√3 i
Tags
CCSS.HSN.CN.B.4
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