Question

If x = a sin teta and y = b cos teta

Find the value of b^2x^2+ a^2y^2


Plssss plsss helppp

Answer 1

• x= a sin theta
• y=b sin theta

`\\ \sf\longmapsto b^2x^2+a^2y^2`

`\\ \sf\longmapsto b^2(asin\Theta)^2+a^2(bcos\Theta)^2`

`\\ \sf\longmapsto b^2a^2sin^2\Theta+a^2b^2cos^2\Theta`

`\\ \sf\longmapsto a^2b^2(sin^2\Theta+cos^2Theta)`

`\\ \sf\longmapsto a^2+b^2(1)`

`\\ \sf\longmapsto a^2b^2`