Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

How do you write this as a rectangular equation by eliminating the parameter? I am not sure where to go about the sin(2t) thank you?

Attachment image

4 Answers

Relevance
  • Philip
    Lv 6
    1 month ago

    x = 4sin(2t).

    y = 2cos(2t).

    (x/4) = sin(2t).

    (y/2) = cos(2t).

    (x/4)^2 = sin^2(2t).

    (y/2)^2 = cos^2(2t).

    (x/4)^2 + (y/2)^2 = sin^2(2t) + cos^2(2t) = 1.

    (x/4)^2 + (y/2)^2 = 1.

     

    • Commenter avatarLog in to reply to the answers
  • alex
    Lv 7
    1 month ago

    (x/4)^2+(y/2)^2 = 1   

    • Commenter avatarLog in to reply to the answers
  • david
    Lv 7
    1 month ago

    x^2 = 16sin^2(2t)  >>>  x^2 / 16 = sin^2(2t)

    y^2 = 4cos^2(2t)  >>>  y^2 / 4  =  cos^2(2t)

     . . . . . ADD   >>>>>>  x^2 / 16   +  y^2 / 4  =  1  <<<  answer

    • Commenter avatarLog in to reply to the answers
  • x/4 = sin(2t)

    y/2 = cos(2t)

    (x/4)^2 = sin(2t)^2

    (y/2)^2 = cos(2t)^2

    (x/4)^2 + (y/2)^2 = sin(2t)^2 + cos(2t)^2

    (x/4)^2 + (y/2)^2 = 1

    • Commenter avatarLog in to reply to the answers
Still have questions? Get answers by asking now.