Question

How do you find the rectangular coordinates given the polar coordinates `(2.5, 250^circ)`?

Answer 1

`x = -0.855`
`y = -2.349`

Explanation:

Substitute `r = 2.5` and `Theta = 250` in the following equations relating rectangular co-ordinates to polar co-ordinate-

`x = r xx cos theta = 2.5 xx cos 250 = -0.855`
`y = r xx sin theta = 2.5 xx sin 250 = -2.349`

Hence the rectangular co-ordinates of the given polar coordinates are

`(-0.855, -2.349)`