Question

What rectangular equation is equivalent to the polar equation r csc(theta)=8
Help pleaseeeeee

Answer 1

@Mehek14 @aaronq ??

Answer 2

csc

Answer 3

csc theta = r / y = sqrt(x^2+ y^2) / y

csc theta = 8/r = 8 / sqrt(x^2 + y^2)

therefore

sqrt(x^2+ y^2) / y = 8 / sqrt(x^2 + y^2)

Answer 4

how did you get √x^2+y^2 ?

Answer 5

pythagoras theorem

Answer 6

you can simplify the above by cross multiplying

Answer 7

Oh okay! Well, my choices are x=8, y=8, x=8y^2, and x^2+(y-4)^2=16
I am trying to cross multiply now and see if I can get it

Answer 8

I got x=8?

Answer 9

@welshfella

Answer 10

No

if you cross multiply my equation you get
x^2 + y^2= 8x

Answer 11

Oh, I got x^2+y^2 = 8y

Answer 12

if you simplify one of the choices you'll see that you get the above

This choice will be the answer.

Answer 13

OH sorry its 8y not 8x

Answer 14

so - do you see which is the correct option?