SOLUTION: If x/a cos theta= y/b sin theta and ax/cos theta - by/ sin theta =a^2 – b^2 show that x^2/a^2 +y^2/b^2 =1

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Question 1064117: If x/a cos theta= y/b sin theta and ax/cos theta - by/ sin theta =a^2 – b^2 show that x^2/a^2 +y^2/b^2 =1

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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If x/a cos theta= y/b sin theta and ax/cos theta - by/ sin theta =a^2 – b^2 show that x^2/a^2 +y^2/b^2 =1
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From  %28x%2Fa%29%2Acos%28theta%29 = %28y%2Fb%29%2Asin%28theta%29 express 

cos%28theta%29 =  %28%28%28y%2Fb%29%29%2F%28%28x%2Fa%29%29%29%2Asin%28theta%29 = %28%28y%2Aa%29%2F%28x%2Ab%29%29%2Asin%28theta%29 and substitute it into the second equality.