Question: 8. Show that r(t) = a cost + bsint is an ellipse even if a and bare not orthogonal. How do you find the major

8. Show that r(t) = a cost + bsint is an ellipse even if a and bare not orthogonal. How do you find the major and minor radii vectors? [Hint: find to such that " . " = 0 and define a' = r(to) and b' = p(to). Express a, b and r(t) in terms of a', b'.]

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