Question

What is the distance between the following polar coordinates?: `(1,(-5pi)/12), (8,(5pi)/8)`

Answer 1

`"Distance"=sqrt((r_1)^2+(r_2)^2-2r_1r_2cos(theta_2-theta_1)`

`D=sqrt(8^2+1^2-2*8*1cos((5pi)/8+(5pi)/12)`

`D=sqrt(65-16cos((25pi)/24)`

`D~~8.9924`