Eliminate the parameter t to rewrite the parametric equation

Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x(t) cos(t) 6 y(t) 8 sin (t) Additional Materials eBook H Converting Parametric Equations to Rectangular Form Learn by Example 1. O -1 points OSPreCalc1 8.6.396. 0/6 Submissions Used Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x(t) -t

Solution

x(t)=cos t + 6

cos t=x(t)-6

cos²t=(x(t)-6)²

y(t)=8sin²t

sin²t=y(t)/8

adding both equations

cos²t + sin²t= x²+36-12x + y/8

-35= x²-12x +y/8

8x²-96x+y+280=0