Question

True?

Answer 1

@Vocaloid

Answer 2

remember that angles can be re-written by adding/subtracting 2pi so a set of polar coordinates can be written with multiple angle values

Answer 3

OH okay so false

Answer 4

yup

Answer 5

polar?

Answer 6

good

Answer 7

B

Answer 8

hm. almost.

you have (r, theta)
to convert to rectangular you need to find (r*cos(theta) , rsin(theta)) as your coordinates

Answer 9

D

Answer 10

good

Answer 11

True

Answer 12

good

Answer 13

F

Answer 14

good

Answer 15

D

Answer 16

hm.

if r = sqrt(x^2 + y^2) what is r?

Answer 17

sqrt 2

Answer 18

good so that eliminates C and D

now if theta = arctan(y/x) what is theta?

Answer 19

-pi/4

Answer 20

good, let's convert that to degrees since the answers are all in degrees

-pi/4 = -45 degrees, add 360 to that since we don't have -45 as one of the choices

Answer 21

315

Answer 22

B

Answer 23

awesome

Answer 24

C

Answer 25

good

Answer 26

B

Answer 27

good guess but 5pi/3 is greater than pi so that would put it below the x-axis

as a hint, notice how that 90 degree angle (or pi/2 angle) is made of three segments, divide pi/2 by 3, then multiply by the number of segments between the polar axis and the point

Answer 28

pi/6

Answer 29

good start, that's one of the segment angle values, then just multiply that by 4 since we have four segments

Answer 30

2pi/3

Answer 31

d

Answer 32

awesome, well done

Answer 33

D

Answer 34

good

Answer 35

confused on this

Answer 36

to go from positive to negative r values you have to subtract pi from the angle

since that's already been done you just have to multiply the r-value by -1

Answer 37

the r value is the x value?

Answer 38

we're in polar so the coordinate given is (r, theta)

Answer 39

-5pi/4

Answer 40

the first number is r so you would multiply 3 by -1 to get the solution

Answer 41

-3

Answer 42

good