Question
Asked Dec 3, 2019
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Eliminate the parameter t and then sketch the graph.
1+3 cost
x 2+3sinr, y
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Eliminate the parameter t and then sketch the graph. 1+3 cost x 2+3sinr, y

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Expert Answer

Step 1

To sketch the graph of the given parametric equation.

Step 2

Given:

x = 2+3 sint, y =1+3cost
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x = 2+3 sint, y =1+3cost

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Step 3

Remove the parame...

x 2+3 sin
x-2 3sin t
--(1)
y =1+3cost
(2)
y-1 3cost
Take the square of the equation (1) and (2) and add the equations as,
(x-2) +(y-1) (3sint +(3cost
(x-2)y1)9 sin2 t+9cos't
(x-2)+(y-1)9(sin't+cos' t
(x-2)+(y)9
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x 2+3 sin x-2 3sin t --(1) y =1+3cost (2) y-1 3cost Take the square of the equation (1) and (2) and add the equations as, (x-2) +(y-1) (3sint +(3cost (x-2)y1)9 sin2 t+9cos't (x-2)+(y-1)9(sin't+cos' t (x-2)+(y)9

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