Question

How can I transform polar coordenates or rectangular?
Here's an example:
(6,45°)

Answer 1

6 tells you how far it is from the origin:

6 = sqrt(x^2 + y^2)

the degree tells us the slope of the line that it is on thru the origin:

tan(45) = 1

Answer 2

y = x is the line that its on

Answer 3

some knowledge of a 45degree triangle would be useful here

Answer 4

but regardless; y = x, so sub it into the distance from the origin part

6 = sqrt(x^2 + y^2)

6 = sqrt(x^2 + (x)^2)

36 = x^2 + x^2

36 = 2x^2

18 = x^2

x = sqrt(18) = 3 sqrt(2)

and since y = x, the leaves us with the rectangulars (3sqrt(2),3sqrt(2))

Answer 5

Thank you, so (4.24, 4.24) is okay?

Answer 6

i believe so ;)

Answer 7

All right, thanks for your help