Question

if x=acostheta and y = bsintheta then b2x2+a2y2

Answer 1

Answer:

x^2=a^2cos^2theta

y^2=b^2sin^2theta

b2x2+a2y2=b^2(a^2cos^2theta)+a^2(b^2sin^2theta)

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

=a^2+b^2(1)

=a^2+b^2