Question

For the given point in polar coordinates, how do you find the corresponding rectangular coordinates for the point. (4, -pi/2)?

Answer 1

`(4,-pi/2)to(0,-4)`

Explanation:

To convert from `color(blue)"polar to rectangular coordinates"`

`color(orange)"Reminder"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(x=rcostheta , y=rsintheta)color(white)(a/a)|)))`

here r = 4 and `theta=-pi/2`

`rArrx=4cos(-pi/2)=4xx0=0`

and `y=4sin(-pi/2)=4xx-1=-4`

`rArr(4,-pi/2)to(0,-4)`