Question

if x= h + a cos theta and Y is equal to K + a sin theta prove that (x-h)² + (y-k)² =a²

Answer 1

(X-h)^2-(y-k)^2=a^2
X=h+a cos theta
Y=k+a sin theta
(H+a cos theta-h)^2÷(k+a sin theta-k)^2=
(a cos thet a)^2+(a sin theta)^2=

a^2 cos^2theta+ a^2 sin^2 theta=
a^2(sin^2 theta+ cos^2theta)=
a^2