Question

if x = a sintheta and y = b costheta then b^2x ^2 + a^2y^2 is equal to

Answer 1

Answer:

Your answer is

Step-by-step explanation:

x=b^4

y=4a

x=b×^4

y=2×2×a

Answer 2

Answer:

here,

X=asintheta

y= bcostheta

then,

b^2x^2+a^2y^2

putting the value of X and y, we get

=b^2(asintheta)^2 +a^2(bcostheta)^2

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

taking common a^2b^2,then

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

we know that: sin^2theta +cos^2theta=1 so,

= a^2b^2