Question

X=h+a cosA and y=k+a sinA, prove that (x-h) ^2+(y-k)^2=a^2

Answer 1

Answer:

Step-by-step explanation:

X=h+a cosA

X-h =a cosA

(X-h)^2=a^2cos^2A .......1

y=k+a sinA

y-k=a sinA

(y-k)^2=a^2sin^2A .........2

1+2

(x-h) ^2+(y-k)^2= a^2cos^2A+a^2sin^2A

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

=a ^2(1)

=a^2

hence proved