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If x = a cos theta - b sin theta and y =...

If `x = a cos theta - b sin theta and y = a sin theta + b cos theta,` prove that `x^2 + y^2 = a^2 + b^2.`

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x = a cos theta, y = b sin theta .

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Knowledge Check

  • If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

    A
    `x ^(2) -y^(2)`
    B
    `x ^(2) +y^(2)`
    C
    `(x+y)^(2)`
    D
    `(x-y)^(2)`

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