Question

C and D?

Answer 1

@Vocaloid

Answer 2

not quite

any attempts to calculate the modulus or sketch the complex number in a coordinate plane?

r = sqrt(x^2+y^2)
for the sketch, it is similar to the point (-5,-5), try to see which quadrant this would be in

Answer 3

Quadrant IV

Answer 4

not quadrant IV, try one more time

Answer 5

oh I read that wrong, I thought you said (5,-5) ….(-5,-5) would be in quadrant III

Answer 6

good, what about the modulus?

Answer 7

5sqrt2

Answer 8

good so which two answer choices do we have?

Answer 9

A and B

Answer 10

good

Answer 11

I have a quick question.

Answer 12

in a number with an "i" ,, do you just ignore that

Answer 13

like for instance, in this problem we just worked with (-5,-5)

Answer 14

oh we follow a+bi?

Answer 15

a=x
b=y

Answer 16

sort of, for complex numbers we assume we are graphing in the imaginary plane not the normal xy plane

Answer 17

since y is assumed to be on the imaginary axis the (i) is still relevant but that's how we take it into account

hope that makes some sense

Answer 18

Yes it does, so if the y value is one that is on the sameimaginary axis as the "i" , the i will basically count

Answer 19

yes

Answer 20

can you give me an example of an equation where the i will not count

Answer 21

ohhh when the y is negative?

Answer 22

the i is still relevant, but for the purposes of modulus and argument calculations you don't need to consider it

Answer 23

when you convert from complex to trigonometric, or the other way around, the i still need to be considered

Answer 24

okay =)

Answer 25

D

Answer 26

hm. not quite. remember the rule for finding equivalent polar coordinates:

multiply the r value by -1, then you can either add or subtract pi from the angle to get a new angle

Answer 27

okay so -5 deff so it has to be either b or c

Answer 28

what do you get when you add/subtract pi to pi/4?

Answer 29

try both addition or subtraction and see if any choices match

Answer 30

B

Answer 31

good

Answer 32

A and D

Answer 33

hm. I think A and D are true, just trying to double check B

Answer 34

ok the proof is kind of complex but yes, the nth root of unity for even n will always include -1 so ABD

Answer 35

Okay =)

Answer 36

T

Answer 37

good

Answer 38

polar?

Answer 39

polar equation

Answer 40

good, polar equation

Answer 41

good

Answer 42

b

Answer 43

good

Answer 44

starts with a p

Answer 45

polar axis

Answer 46

good but the sentence already includes the word axis, so just polar

Answer 47

so technically there are two that could work but the one that they might want starts with mo

Answer 48

umm modulus

Answer 49

good

Answer 50

or the other is magnitude but modulus works