Question

How do you convert the polar point `(1,-pi/2)` into rectangular form?

Answer 1

`(1,-pi/2)to(0,-1)`

Explanation:

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

`color(orange)"Reminder"`

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

here r = 1 and `theta=-pi/2`

`rArrx=1xxcos(-pi/2)=1xx0=0`

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

`rArr(1,-pi/2)to(0,-1)" in rectangular form"`