Question

What is the distance between the following polar coordinates?: `(-1,(pi)/2), (2,(15pi)/12)`

Answer 1

I left explanation, try to finish it

Explanation:

In Euclidean geometry, we have where dl is the distance, we have:
`dl^2` = `dx^2 + dy^2`

In polar coordinates:
x =`r*cos(theta)`
dx = `drcos(theta) - rsin(theta)d theta`

y = `r*sin(theta)`
dy = `drsin(theta) + rcos(theta)d theta`

Plug into the first formula and you get the answer:)

Distance between 2 coordinates in polar coordiantes is given by:
l = `sqrt((r_2-r_1)^2 + r^2(theta_1 - theta_2))`