Question

For `f(t)= (sint-cost,t)` what is the distance between `f(pi/4)` and `f(pi)`?

Answer 1

The distance is `~~2.56`

Explanation:

`f(pi/4) = (sin(pi/4) - cos(pi/4), pi/4) = (0, pi/4)`

`f(pi) = (sin(pi) - cos(pi), pi) = (1, pi)`

The distance is:

`d = sqrt((1 - 0)² + (pi - pi/4)²`