Find the Cartesian form of the parametric equations: $x=2sin^2(theta)$, $y=7cos^2(theta)$












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I am trying to find the cartesian form of the parametric expressions $x=2sin^2(theta)$, $y=7cos^2(theta)$. I have $x=2-cos^2(theta)$ but i can't work it after that.










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    I am trying to find the cartesian form of the parametric expressions $x=2sin^2(theta)$, $y=7cos^2(theta)$. I have $x=2-cos^2(theta)$ but i can't work it after that.










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      $begingroup$


      I am trying to find the cartesian form of the parametric expressions $x=2sin^2(theta)$, $y=7cos^2(theta)$. I have $x=2-cos^2(theta)$ but i can't work it after that.










      share|cite|improve this question









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      I am trying to find the cartesian form of the parametric expressions $x=2sin^2(theta)$, $y=7cos^2(theta)$. I have $x=2-cos^2(theta)$ but i can't work it after that.







      parametric






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      asked Dec 10 '18 at 21:44









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          $begingroup$

          $$sin^2(theta)+cos^2(theta)=1$$
          $$frac{x}{2}+frac{y}{7}=1$$






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          • 1




            $begingroup$
            Also with the restrictions $x, y ge 0$ (which also implies $x le 2$, $y le 7$).
            $endgroup$
            – Daniel Schepler
            Dec 10 '18 at 22:04










          • $begingroup$
            Yeah.. Thanks :)
            $endgroup$
            – mm-crj
            Dec 10 '18 at 22:06











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          $begingroup$

          $$sin^2(theta)+cos^2(theta)=1$$
          $$frac{x}{2}+frac{y}{7}=1$$






          share|cite|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Also with the restrictions $x, y ge 0$ (which also implies $x le 2$, $y le 7$).
            $endgroup$
            – Daniel Schepler
            Dec 10 '18 at 22:04










          • $begingroup$
            Yeah.. Thanks :)
            $endgroup$
            – mm-crj
            Dec 10 '18 at 22:06
















          0












          $begingroup$

          $$sin^2(theta)+cos^2(theta)=1$$
          $$frac{x}{2}+frac{y}{7}=1$$






          share|cite|improve this answer









          $endgroup$









          • 1




            $begingroup$
            Also with the restrictions $x, y ge 0$ (which also implies $x le 2$, $y le 7$).
            $endgroup$
            – Daniel Schepler
            Dec 10 '18 at 22:04










          • $begingroup$
            Yeah.. Thanks :)
            $endgroup$
            – mm-crj
            Dec 10 '18 at 22:06














          0












          0








          0





          $begingroup$

          $$sin^2(theta)+cos^2(theta)=1$$
          $$frac{x}{2}+frac{y}{7}=1$$






          share|cite|improve this answer









          $endgroup$



          $$sin^2(theta)+cos^2(theta)=1$$
          $$frac{x}{2}+frac{y}{7}=1$$







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Dec 10 '18 at 21:48









          mm-crjmm-crj

          425213




          425213








          • 1




            $begingroup$
            Also with the restrictions $x, y ge 0$ (which also implies $x le 2$, $y le 7$).
            $endgroup$
            – Daniel Schepler
            Dec 10 '18 at 22:04










          • $begingroup$
            Yeah.. Thanks :)
            $endgroup$
            – mm-crj
            Dec 10 '18 at 22:06














          • 1




            $begingroup$
            Also with the restrictions $x, y ge 0$ (which also implies $x le 2$, $y le 7$).
            $endgroup$
            – Daniel Schepler
            Dec 10 '18 at 22:04










          • $begingroup$
            Yeah.. Thanks :)
            $endgroup$
            – mm-crj
            Dec 10 '18 at 22:06








          1




          1




          $begingroup$
          Also with the restrictions $x, y ge 0$ (which also implies $x le 2$, $y le 7$).
          $endgroup$
          – Daniel Schepler
          Dec 10 '18 at 22:04




          $begingroup$
          Also with the restrictions $x, y ge 0$ (which also implies $x le 2$, $y le 7$).
          $endgroup$
          – Daniel Schepler
          Dec 10 '18 at 22:04












          $begingroup$
          Yeah.. Thanks :)
          $endgroup$
          – mm-crj
          Dec 10 '18 at 22:06




          $begingroup$
          Yeah.. Thanks :)
          $endgroup$
          – mm-crj
          Dec 10 '18 at 22:06


















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