Question

Express (2,pie/6)in rectangular coordinates?

Answer 1

`(sqrt3,1)`

Explanation:

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

`"that is "(r,theta)to(x,y)" where"`

`•color(white)(x)x=rcostheta" and "y=rsintheta`

`"here "r=2" and "theta=pi/6`

`rArrx=2xxcos(pi/6)=2xxsqrt3/2=sqrt3`

`rArry=2xxsin(pi/6)=2xx1/2=1`

`rArr(2,pi/6)to(sqrt3,1)`