Homework Soursefind a rectangular equation for the line whose parametric eq
find a rectangular equation for the line whose parametric equations are x= 2cos t y= 2sin t where 0 is less than or equal to t less than or equal to 2pi i got x=-4+2y+10. is my answer right? if not can I get help solving
Solution
given parametric equations are x=2cost , y = 2sint
so (x/2) = cost and (y/2) = sint
now squaring and adding the together
(x/2)^2 + (y/2)^2 = cos^2(t) +sin^2(t)
but [ cos^2(t) +sin^2(t) =1 is a identity ]
(x/2)^2 +(y/2)^2 =1
x^2 /4 +y^2/4 =1
x^2 +y^2 = 4
