Eliminate parameter from $x=-6cos(4t)$, $y=2 sin(4t)$ [closed]











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Eliminate the parameter in
$$x = -6cos(4t),quad y = 2sin(4t)$$











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closed as off-topic by amWhy, amd, Arnaud D., Brahadeesh, Leucippus Nov 23 at 21:35


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, amd, Arnaud D., Brahadeesh, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.













  • $cos^2(4t)+sin^2(4t)=1$
    – Tito Eliatron
    Nov 23 at 18:16










  • I have (x/36)^2 + (y/4)^2 = 1
    – Alex Brito
    Nov 23 at 18:18










  • What happens with the (4t) inside the sin and cos?
    – Alex Brito
    Nov 23 at 18:19










  • @AlexBrito: $sin^2 x+cos^2 x=1$ in general.
    – Yadati Kiran
    Nov 23 at 18:48






  • 1




    This question shows absolutely no effort on your part. This isn’t a homework-solving site.
    – amd
    Nov 23 at 19:39















up vote
-2
down vote

favorite













Eliminate the parameter in
$$x = -6cos(4t),quad y = 2sin(4t)$$











share|cite|improve this question















closed as off-topic by amWhy, amd, Arnaud D., Brahadeesh, Leucippus Nov 23 at 21:35


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, amd, Arnaud D., Brahadeesh, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.













  • $cos^2(4t)+sin^2(4t)=1$
    – Tito Eliatron
    Nov 23 at 18:16










  • I have (x/36)^2 + (y/4)^2 = 1
    – Alex Brito
    Nov 23 at 18:18










  • What happens with the (4t) inside the sin and cos?
    – Alex Brito
    Nov 23 at 18:19










  • @AlexBrito: $sin^2 x+cos^2 x=1$ in general.
    – Yadati Kiran
    Nov 23 at 18:48






  • 1




    This question shows absolutely no effort on your part. This isn’t a homework-solving site.
    – amd
    Nov 23 at 19:39













up vote
-2
down vote

favorite









up vote
-2
down vote

favorite












Eliminate the parameter in
$$x = -6cos(4t),quad y = 2sin(4t)$$











share|cite|improve this question
















Eliminate the parameter in
$$x = -6cos(4t),quad y = 2sin(4t)$$








calculus parametric






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edited Nov 23 at 18:17









egreg

175k1383198




175k1383198










asked Nov 23 at 18:11









Alex Brito

14




14




closed as off-topic by amWhy, amd, Arnaud D., Brahadeesh, Leucippus Nov 23 at 21:35


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, amd, Arnaud D., Brahadeesh, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by amWhy, amd, Arnaud D., Brahadeesh, Leucippus Nov 23 at 21:35


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, amd, Arnaud D., Brahadeesh, Leucippus

If this question can be reworded to fit the rules in the help center, please edit the question.












  • $cos^2(4t)+sin^2(4t)=1$
    – Tito Eliatron
    Nov 23 at 18:16










  • I have (x/36)^2 + (y/4)^2 = 1
    – Alex Brito
    Nov 23 at 18:18










  • What happens with the (4t) inside the sin and cos?
    – Alex Brito
    Nov 23 at 18:19










  • @AlexBrito: $sin^2 x+cos^2 x=1$ in general.
    – Yadati Kiran
    Nov 23 at 18:48






  • 1




    This question shows absolutely no effort on your part. This isn’t a homework-solving site.
    – amd
    Nov 23 at 19:39


















  • $cos^2(4t)+sin^2(4t)=1$
    – Tito Eliatron
    Nov 23 at 18:16










  • I have (x/36)^2 + (y/4)^2 = 1
    – Alex Brito
    Nov 23 at 18:18










  • What happens with the (4t) inside the sin and cos?
    – Alex Brito
    Nov 23 at 18:19










  • @AlexBrito: $sin^2 x+cos^2 x=1$ in general.
    – Yadati Kiran
    Nov 23 at 18:48






  • 1




    This question shows absolutely no effort on your part. This isn’t a homework-solving site.
    – amd
    Nov 23 at 19:39
















$cos^2(4t)+sin^2(4t)=1$
– Tito Eliatron
Nov 23 at 18:16




$cos^2(4t)+sin^2(4t)=1$
– Tito Eliatron
Nov 23 at 18:16












I have (x/36)^2 + (y/4)^2 = 1
– Alex Brito
Nov 23 at 18:18




I have (x/36)^2 + (y/4)^2 = 1
– Alex Brito
Nov 23 at 18:18












What happens with the (4t) inside the sin and cos?
– Alex Brito
Nov 23 at 18:19




What happens with the (4t) inside the sin and cos?
– Alex Brito
Nov 23 at 18:19












@AlexBrito: $sin^2 x+cos^2 x=1$ in general.
– Yadati Kiran
Nov 23 at 18:48




@AlexBrito: $sin^2 x+cos^2 x=1$ in general.
– Yadati Kiran
Nov 23 at 18:48




1




1




This question shows absolutely no effort on your part. This isn’t a homework-solving site.
– amd
Nov 23 at 19:39




This question shows absolutely no effort on your part. This isn’t a homework-solving site.
– amd
Nov 23 at 19:39










3 Answers
3






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3
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$x^2=36cos^2 4t$, $y^2=4sin^2 4t to x^2+9y^2=36$






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  • How will it be different from $(6cos4t,2sin4t)$
    – lab bhattacharjee
    Nov 23 at 18:31




















up vote
1
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$$({xover 6})^2+({yover 2})^2=1to x^2+9y^2=36$$






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    0
    down vote













    $left(dfrac{x}{6}right)^2+left(dfrac{y}{2}right)^2=1impliesdfrac{x^2}{36}+dfrac{y^2}{4}=1$.



    (Equation of an ellipse with length of semi-major and semi-minor axes being $6$ and $2$ units respectively).






    share|cite|improve this answer




























      3 Answers
      3






      active

      oldest

      votes








      3 Answers
      3






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes








      up vote
      3
      down vote













      $x^2=36cos^2 4t$, $y^2=4sin^2 4t to x^2+9y^2=36$






      share|cite|improve this answer





















      • How will it be different from $(6cos4t,2sin4t)$
        – lab bhattacharjee
        Nov 23 at 18:31

















      up vote
      3
      down vote













      $x^2=36cos^2 4t$, $y^2=4sin^2 4t to x^2+9y^2=36$






      share|cite|improve this answer





















      • How will it be different from $(6cos4t,2sin4t)$
        – lab bhattacharjee
        Nov 23 at 18:31















      up vote
      3
      down vote










      up vote
      3
      down vote









      $x^2=36cos^2 4t$, $y^2=4sin^2 4t to x^2+9y^2=36$






      share|cite|improve this answer












      $x^2=36cos^2 4t$, $y^2=4sin^2 4t to x^2+9y^2=36$







      share|cite|improve this answer












      share|cite|improve this answer



      share|cite|improve this answer










      answered Nov 23 at 18:16









      Vasya

      3,2871515




      3,2871515












      • How will it be different from $(6cos4t,2sin4t)$
        – lab bhattacharjee
        Nov 23 at 18:31




















      • How will it be different from $(6cos4t,2sin4t)$
        – lab bhattacharjee
        Nov 23 at 18:31


















      How will it be different from $(6cos4t,2sin4t)$
      – lab bhattacharjee
      Nov 23 at 18:31






      How will it be different from $(6cos4t,2sin4t)$
      – lab bhattacharjee
      Nov 23 at 18:31












      up vote
      1
      down vote













      $$({xover 6})^2+({yover 2})^2=1to x^2+9y^2=36$$






      share|cite|improve this answer

























        up vote
        1
        down vote













        $$({xover 6})^2+({yover 2})^2=1to x^2+9y^2=36$$






        share|cite|improve this answer























          up vote
          1
          down vote










          up vote
          1
          down vote









          $$({xover 6})^2+({yover 2})^2=1to x^2+9y^2=36$$






          share|cite|improve this answer












          $$({xover 6})^2+({yover 2})^2=1to x^2+9y^2=36$$







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Nov 23 at 18:36









          Mostafa Ayaz

          13.3k3836




          13.3k3836






















              up vote
              0
              down vote













              $left(dfrac{x}{6}right)^2+left(dfrac{y}{2}right)^2=1impliesdfrac{x^2}{36}+dfrac{y^2}{4}=1$.



              (Equation of an ellipse with length of semi-major and semi-minor axes being $6$ and $2$ units respectively).






              share|cite|improve this answer

























                up vote
                0
                down vote













                $left(dfrac{x}{6}right)^2+left(dfrac{y}{2}right)^2=1impliesdfrac{x^2}{36}+dfrac{y^2}{4}=1$.



                (Equation of an ellipse with length of semi-major and semi-minor axes being $6$ and $2$ units respectively).






                share|cite|improve this answer























                  up vote
                  0
                  down vote










                  up vote
                  0
                  down vote









                  $left(dfrac{x}{6}right)^2+left(dfrac{y}{2}right)^2=1impliesdfrac{x^2}{36}+dfrac{y^2}{4}=1$.



                  (Equation of an ellipse with length of semi-major and semi-minor axes being $6$ and $2$ units respectively).






                  share|cite|improve this answer












                  $left(dfrac{x}{6}right)^2+left(dfrac{y}{2}right)^2=1impliesdfrac{x^2}{36}+dfrac{y^2}{4}=1$.



                  (Equation of an ellipse with length of semi-major and semi-minor axes being $6$ and $2$ units respectively).







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Nov 23 at 18:46









                  Yadati Kiran

                  1,245417




                  1,245417















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