Question

What is the distance between `(4 ,( -3 pi)/8 )` and `(-1 ,( 3 pi )/2 )`?

Answer 1

distance `d=4.93873" "`units

Explanation:

The formula for the distance d

Let `(r_1, theta_1)=(4, (-3pi)/8)`
Let `(r_2, theta_2)=(-1, (3pi)/2)`

`d=sqrt(r_2^2+r_1^2-2*r_2*r_1*cos (theta_2-theta_1))`

`d=sqrt((-1)^2+(4)^2-2*(-1)*4*cos ((3pi)/2-(-3pi)/8))`

`d=4.93873" "`units

God bless....I hope the explanation is useful.