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zysi [14]
3 years ago
9

Eliminate the parameter,t, in the parametric equation, x=6cos t, and y =3 sin t

Mathematics
1 answer:
german3 years ago
6 0
X = 6 cos(t) 
y = 3 sin(t)

we can rewrite these equations as:

\frac{x}{6}=cost(t) \\ \\ \frac{y}{3} =sin(t)

Taking squares of both equations we get:

( \frac{x}{6})^{2}=sin^{2} (t) \\  \\ 
( \frac{y}{3})^{2}=cos^{2}(t)

Adding both the equations, we get:

\frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=sin^{2}(t)+cos^{2}(t)   \\  \\ 
 \frac{ x^{2} }{36}+ \frac{ x^{2} }{9}=1
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