Question

if x is equals to a cos theta and y is equals to b sin theta then find b Square x square + a square y square

Answer 1

this is the answer a^2 b^2 as I shown

Answer 2

Answer:

Value is $a^2b^2$

Step-by-step explanation:

Given $x=acos\theta$ and $y=bsin\theta$.

we have to find the value of $b^2x^2+a^2y^2$

$x=acos\theta$

⇒ $x^2=a^2cos^2\theta$

$y=bsin\theta$

⇒ $y^2=b^2sin^2\theta$

$b^2x^2+a^2y^2=b^2(a^2cos^2\theta)+a^2(b^2sin^2\theta)$

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

                      = $a^2b^2$

Hence, value is $a^2b^2$