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6.6.5 Test (CST): Complex Numbers Precalculus Sem 2
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Terms in this set (20)
Which of the following are correct statements concerning the roots of unity?
nth roots of unity are evenly spaced on the unit circle.
1 is always the nth root of unity.
Simplify (-1-3i)+2(4+6i) Enter your answer in the form a+bi.
7+9i
Convert the complex number 3 - 3i into its polar representation.
https://prnt.sc/q0zjx8
Convert 4(cos(150) + isin(150)) into rectangular form.
https://prnt.sc/q0zkcb
Find the product of the complex numbers. Express your answer in trigonometric form.
z1 = 7(cos(15) + isin(15))
z2 = 2(cos(110) + isin(110))
z1 = 14(cos(125) + isin(125))
https://prnt.sc/q0zkub
What is the name of the shape graphed by the function theta = 5pi/3 ?
https://prnt.sc/q0zl6z
What is the name of the shape graphed by the function r = 1 - cos theta?
Cardioid
https://prnt.sc/q0zloj
An equation whose variables are polar coordinates is called a _____ .
polar equation
A rectangular equation that is a function will be a function in any coordinate system.
False
In polar coordinates, the origin is called the _____.
pole
Convert the polar representation of this complex number into its standard form.
https://prnt.sc/q0zn87
https://prnt.sc/q0zn87
Use De Moivre's theorem to write the complex number in trigonometric form.
(cos(2pi/7)+isin(2pi/7))^5
https://prnt.sc/q0zny7
https://prnt.sc/q0zny7
The value of r represents the directed distance when plotting a point in polar coordinates.
True
When a complex number z is written in its polar form, z = r(cos + isin), the non-negative number r is called the _____ of z.
modulus
https://prnt.sc/q0zp2y
Which set of polar coordinates names the same point as
https://prnt.sc/q0zpi9
https://prnt.sc/q0zpi9
What is the name of the shape depicted in the graph below?
https://prnt.sc/q0zppd
https://prnt.sc/q0zppd
What is the name of the shape graphed by the function r2 = 4cos theta?
Lemniscate
https://prnt.sc/q0zq0p
Calculate |-3 + 4i|.
https://prnt.sc/q0zrmr
5
https://prnt.sc/q0zrmr
Convert (5,pi/4) to rectangular coordinates.
https://prnt.sc/q0zs2i
https://prnt.sc/q0zs2i
What is true about the complex number 5 - 5i? Check all that apply.
It lies in quadrant 4.
The modulus is .
https://prnt.sc/q0zsgs
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