Question Number 204024 by Tawa11 last updated on 04/Feb/24
Find the Cartesian equation of x(t) = 2 cos t And y(t) = 3 cos t
Answered by Frix last updated on 04/Feb/24
$${x}={af}\left({t}\right)\:\Rightarrow\:{f}\left({t}\right)=\frac{{x}}{{a}}\:\Rightarrow \\ $$$${y}={bf}\left({t}\right)=\frac{{bx}}{{a}} \\ $$
Commented by Tawa11 last updated on 04/Feb/24
$$\mathrm{please}\:\mathrm{workings}\:\mathrm{sir} \\ $$
Commented by Frix last updated on 04/Feb/24
$$\mathrm{But}\:\mathrm{this}\:\mathrm{is}\:\mathrm{all}\:\mathrm{you}\:\mathrm{need}! \\ $$$${x}=\mathrm{2cos}\:{t}\:\Rightarrow\:\mathrm{cos}\:{t}\:=\frac{{x}}{\mathrm{2}} \\ $$$${y}=\mathrm{3cos}\:{t}\:\Rightarrow\:{y}=\frac{\mathrm{3}{x}}{\mathrm{2}} \\ $$
Commented by Tawa11 last updated on 04/Feb/24
$$\mathrm{Oh}. \\ $$$$\mathrm{Thanks}\:\mathrm{sir}. \\ $$$$\mathrm{I}\:\mathrm{appreciate} \\ $$
Commented by Frix last updated on 04/Feb/24
��