6.6.5 - Test (CST): Complex Numbers Precalculus Sem 2
Which of the following are correct statements concerning the roots of unity? Check all that apply
1 is always the nth root of unity nth roots of unity are evenly spaced on the unit circle. https://ibb.co/ky3iTz (Answer)
Calculate |-5 + 12i|.
13 https://ibb.co/gTztve (Answer)
Convert the complex number 3-3i into its polar representation.
3sqrt2(cos(315 degrees) + i sin(315 degrees)) https://ibb.co/mNgqae (Answer)
Simplify (-1-3i)+2(4+6i) Enter your answer in the form a+bi.
7+9i https://ibb.co/hcKkae (Answer)
What is the name of the shape graphed by the function r=1 + sin theta?
Cardioid https://ibb.co/eTSA8z ( Answer)
The value of theta represents the distance from a point to the origin when plotting a point in polar coordinates.
False https://ibb.co/ix1Z1K (Answer)
What is the name of the shape graphed by the function r^2 =4cos theta?
Lemniscate https://ibb.co/gWf2MK ( Answer)
What is the name of the shape depicted in the graph below? https://ibb.co/eEg6Fe (Imagen)
Lemniscate https://ibb.co/gYaNoz (Answer)
What is the name of the shape graphed by the function theta = 5pi/3 ?
Line https://ibb.co/jFb6Fe (Answer)
What is true about the complex number -5 + 5i? Check all that apply.
The modulus is 5sqrt2 It lies in quadrant 2 https://ibb.co/nkDmFe (Answer)
A rectangular equation that is not a function may be a function in the polar coordinate system.
True https://ibb.co/hum91K ( Answer)
Fin the product of the complex numbers. Express your answer in trigonometric form. Z1=7(cos15degrees)+isin(15degrees)) Z2=2(cos110degrees)+isin(1110degrees))
Z1=14(cos125degrees)+isin(125degrees) https://ibb.co/mc7Dve (Answer)
When a complex number z is written in its polar from, z = r(cos theta + i sin theta), the non-negative number r is called the ______ of z.
modulus https://ibb.co/ionwFe (Answer)
An equation whose variables are polar coordinates is called a ______.
polar equation https://ibb.co/jyoNMK (Answer)
In polar coordinates, the origin is called the _____.
pole https://ibb.co/hQ16Fe (Answer)
Convert (5, (pi/4)) to rectangular coordinates.
((5sqrt2)/2), ((5sqrt2)/2)) https://ibb.co/iWQNoz (Answer)
Convert 4(cos(120 degrees) + i sin (120 degrees)) into rectangular form.
(-2,2sqrt3) https://ibb.co/cWSMFe (Answer)
Which set of polar coordinates name the same point as (5, pi/4)?
(-5, 5pi/4) https://ibb.co/dFEF8z (Answer)
Convert the polar representation of this complex number into its standard form. 2(cos(7pi/6)+isin(7pi/6))
-sqrt3 -i https://ibb.co/kzf8ve ( Answer)
Use de Moivre's theorem to write the complex number in trigonometric form. (cos(pi/4)+i sin(pi/4))^3
cos(3pi/4)+isin(3pi/4) https://ibb.co/g0rgFe (Answer)
