6.6.5 Test (CST): Complex Numbers Precalculus Sem 2

Calculate |-3 + 4i|. https://prnt.sc/q0zrmr

5 https://prnt.sc/q0zrmr

Simplify (-1-3i)+2(4+6i) Enter your answer in the form a+bi.

7+9i

What is the name of the shape graphed by the function r = 1 - cos theta?

Cardioid https://prnt.sc/q0zloj

A rectangular equation that is a function will be a function in any coordinate system.

False

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

What is the name of the shape graphed by the function r2 = 4cos theta?

Lemniscate https://prnt.sc/q0zq0p

The value of r represents the directed distance when plotting a point in polar coordinates.

True

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

What is the name of the shape graphed by the function theta = 5pi/3 ?

https://prnt.sc/q0zl6z

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

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

Convert (5,pi/4) to rectangular coordinates. https://prnt.sc/q0zs2i

https://prnt.sc/q0zs2i

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 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.

An equation whose variables are polar coordinates is called a _____ .

polar equation

In polar coordinates, the origin is called the _____.

pole

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