Question

What is the Cartesian form of `(2,(pi )/3)`?

Answer 1

`(1,sqrt3)`

Explanation:

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

That is `(r,theta)to(x,y)`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(x=rcostheta , y=rsintheta)color(white)(2/2)|)))`

here `r=2" and " theta=pi/3`

`rArrx=2cos(pi/3)=2xx1/2=1`

and `y=2sin(pi/3)=2xxsqrt3/2=sqrt3`

`rArr(2,pi/3)to(1,sqrt3)`