Question

D?

Answer 1

uh, not 100% sure but you would start by letting x = rcos(theta) where r = 7 and theta = pi/2

Answer 2

0

Answer 3

good

this question is kind of tripping me up because 7i * sin(pi/2) is 7i but that's not one of the choices

Answer 4

maybe B?

Answer 5

yeah it's not the best choice but it's the closest to what's accurate

Answer 6

http://www.mathcentre.ac.uk/resources/sigma%20complex%20number%20leaflets/sigma-complex9-2009-1.pdf

Answer 7

2nd paragraph

Answer 8

argument

Answer 9

A+

Answer 10

t

Answer 11

since we have restricted the domain from 0 to 2pi then every angle is unique, thus making the original statement false

Answer 12

C

Answer 13

the number in front of the parentheses is r
theta is the angle as usual

so rcos(theta) = ?

Answer 14

-2sqrt3

Answer 15

good and there's only one answer choice that has -2sqrt(3) as its first value

Answer 16

A

Answer 17

good

Answer 18

A

Answer 19

4cos(135) = ?

Answer 20

still there? you just need to calculate what 4*cos(135) is, that will give you your x-coordinate

Answer 21

-2sqrt2

Answer 22

good, and there's only one solution that has -2sqrt(2) as the x-coordinate

Answer 23

c

Answer 24

perfect

Answer 25

D

Answer 26

hm. I suppose D is mathematically accurate but there may be a better way to represent it with the smallest angle possible

Answer 27

um a?

Answer 28

good

Answer 29

b

Answer 30

D

Answer 31

if you draw a line from the origin to the red dot how long is that line? as a hint you must use the pythagorean theorem

Answer 32

-2,1

Answer 33

so i would use the pyth for these ?

Answer 34

notice how you have a triangle with legs 2 units each

so length of the hypotenuse = sqrt(2^2 + 2^2) = ?

Answer 35

2sqrt 2 so c

Answer 36

good

Answer 37

had to look this one up tbh

if you remember from vectors we used a specific word, starting with an m, to describe the length of a vector, remember what that might be?

Answer 38

magnitude:?

Answer 39

good, so magnitude is also our solution here

Answer 40

D

Answer 41

close but not quite

arctan(y/x) = ?

Answer 42

B

Answer 43

good

Answer 44

D

Answer 45

good