Eliminate-from-the-equation-x-a-cos-y-b-sin-cos-2-x-a-sin-y-b-cos-2sin-2-

Question Number 140659 by bemath last updated on 11/May/21

Eliminate θ from the equation { (((x/a)cos θ−(y/b)sin θ=cos 2θ)),(((x/a)sin θ+(y/b)cos θ=2sin 2θ)) :}

$$\mathrm{Eliminate}\:\theta\:\mathrm{from}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\:\begin{cases}{\frac{\mathrm{x}}{\mathrm{a}}\mathrm{cos}\:\theta−\frac{\mathrm{y}}{\mathrm{b}}\mathrm{sin}\:\theta=\mathrm{cos}\:\mathrm{2}\theta}\\{\frac{\mathrm{x}}{\mathrm{a}}\mathrm{sin}\:\theta+\frac{\mathrm{y}}{\mathrm{b}}\mathrm{cos}\:\theta=\mathrm{2sin}\:\mathrm{2}\theta}\end{cases} \\ $$

Answered by BHOOPENDRA last updated on 11/May/21