Question

2 part question

Answer 1

x = r*cos(theta) and y = r*sin(theta) as indicated, this will give you the rectangular coordinates

Answer 2

12*cos(7pi/4) = 6sqrt2

Answer 3

good, keep going

Answer 4

12*sin(7pi/4) = -6sqrt2

(6sqrt2,-6sqrt2)

Answer 5

good

Answer 6

-2*sin(7pi/4) = -sqrt3
-2*cos(7pi/4) = -1

(-sqrt3,-1)

Answer 7

the theta value is 7pi/3 not 7pi/4

Answer 8

-2*sin(7pi/3) = -sqrt3
-2*cos(7pi/3) = -1

(-sqrt3,-1)

Answer 9

it's cos(theta), sin(theta) not the other way around

so (-1, -sqrt(3))