Question

If x = a cos theta and y = b sin theta , then find the value of b square x square + a square y square - a square b square ??​

Answer 1

The question is

If x=a cosθ and y=b sinθ, then find the value of

If x=a cosθ and y=b sinθ, then find the value of b²x² +a²y²-a²b²

Answer is in the attachment...

$\huge\tt\purple{♬•Answer:}$

Or you can see this:

Putting the values of x and y in

b²x² +a²y²-a²b²

We get,

b²(a cosθ) ² + a²(b sinθ)²-a²b²=?

{b²a²cos²θ + a²b²sin²θ} -a²b²=?

Taking a²b² common

a²b²(cos²θ+sin²θ) - a²b²=?

a²b²(1)-a²b²=?

a²b²-a²b²=0

Answer is $0$