asked 81.2k views
4 votes
X = 5 cos t, y = 5 sin t
Eliminate the perameter

asked
User Zac Kwan
by
8.3k points

1 Answer

2 votes

\bf \begin{cases} x=5cos(t)\implies (x)/(5)=cos(t)\\\\ cos^(-1)\left( (x)/(5) \right)=cos^(-1)[cos(t)]\\\\ cos^(-1)\left( (x)/(5) \right)=\boxed{t}\\ ----------\\ y=5sin(t)\implies y=5sin\left( \boxed{cos^(-1)\left( (x)/(5) \right)} \right) \end{cases}

just a matter of substitution
answered
User Tughi
by
8.2k points
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