Question

What is the distance between the following polar coordinates?: `(2,(19pi)/12), (3,(7pi)/8)`

Answer 1

`ans=sqrt((2*cos(19/12pi)-3*cos(7/8pi))^2+(2*sin(19/12pi)-3*sin(7/8pi))^2)`

Explanation:

`x=rcostheta`
`y=rsintheta`
`x1=2*cos(19/12pi)`
`y1=2*sin(19/12pi)`
`x2=3*cos(7/8pi)`
`y2=3*sin(7/8pi)`
`dist=sqrt((x1-x2)^2+(y1-y2)^2`
`=sqrt((2*cos(19/12pi)-3*cos(7/8pi))^2+(2*sin(19/12pi)-3*sin(7/8pi))^2)`