Question

How do you convert the polar coordinate ( 8.2620 , 0.6653 ) into cartesian coordinates?

Answer 1

`(6.5;5.1)`

Explanation:

To convert polar co-ordinates `(r;theta)`, also written as `r/_ theta` , into rectangular co-ordinates `(x;y)`, also written as `x + iy` , make use of the following formula, which is as a result of standard trigonometry in the associated right-angled triangle that may be drawn in the Argand diagram we plotting the associated complex number. Remember that `theta` is in radianshere.

`x=rcostheta`
`y=rsintheta`

So in this case,
`x=8,2620cos0,6653=6,5`
`y=8,2620sin0,6653=5,1`

Alternatively, most scientific calculators can convert directly between rectangular and polar forms by just punching it in.