Question

find the transformed equation of x^2+y^2=a^2 when the axes are rotated through an angle of 180.​

Answer 1

Step-by-step explanation:

Hola !

x=X cos18°-Ysin 18°

y=X sin18°+Y cos 18°

Therefore,

the transformed equation is (Xcos18°-Ysin18°)²+(Xsin18°+Ycos18°)²=a²

=>X²+Y²=a²

Thank you!

Answer 2

x = X cos18°-Ysin 18°

y = X sin18°+Y cos 18°

So,

Transformed equation :-

(X cos18°- Y sin18°)^2 + (X sin18°+ Y cos18°)^2 = a^2

X^2 +Y^2 = a^2