Question

How do you find the rectangular coordinate of (1, 45 degrees)?

Answer 1

`(sqrt2/2,sqrt2/2)`

Explanation:

the Polar coordinate

`(1, 45^0)=(r, theta)`

now

`x=rcostheta`

`y=rsintheta`

`:. x=1xxcos45=sqrt2/2`

`y=1xxsin45=sqrt2/2`

`(x,y)=(sqrt2/2,sqrt2/2)`