Question

find the distance between the following pairs of points:
(a sin theta, a cos theta); (a cos theta , -a sin theta)​
please answer my question

Answer 1

Distance =root({a cos theta- a sin theta}^2. + { -a sin theta - a cos theta}^2)
Distance = root( a2 cos2 theta +a2 sin2 theta -2a2 cos theta sin theta + a2 sin2 theta + a2 cos2 theta +2a2 sin theta cos theta)
Distance =root(a2 cos2 theta + a2 sin2 theta + a2 cos2 theta +a2 sin2 theta)
Distance = root (a2{cos2 theta +sin2 theta + cos2 theta + sin2 theta})
Distance = root(a2 {1+1})
Distance =a root2