Question

Find the distance between the points with the given polar coordinates.
(1, 4π/3) (3, 5π/3)

Answer 1

first convert these points to rectangular coordinates, can you do it???

Answer 2

I'm not sure that I know how to do that..

Answer 3

ok pick first point
(1, 4π/3)
now to conver it to (x,y)
we do this
x = r.cos theta
y = r.sin theta
where r = 1 and theta = 4π/3
can you do it now???

Answer 4

yes!

Answer 5

ok then try

Answer 6

(-1/2,(-square root 3)/2)

Answer 7

(3/2,-3(squareroot 3)/2)

Answer 8

yes this is right now use this formula to caculate the distance between them

d = sqrt [ (y2 - y1)^2 + (x2 - x1)^2 ]

Answer 9

where (x1,y1) = (-1/2,(-square root 3)/2)
and (x2, y2) = (3/2,-3(squareroot 3)/2)

Answer 10

i got the square root of 7

Answer 11

you got sqrt 7 ??

Answer 12

yes.. did i do something wrong?

Answer 13

no check your answer with the book may be you did it correct

Answer 14

Yes that's right.. thank you!

Answer 15

you are welcomeee