How do you write the parametric equations represent the ellipse given by <mstyle displaystyle="t

Oberhangaps5z

Oberhangaps5z

Answered question

2022-05-15

How do you write the parametric equations represent the ellipse given by x 2 9 + y 2 81 = 1

Answer & Explanation

arbotsck8sg

arbotsck8sg

Beginner2022-05-16Added 22 answers

Step 1
Write the equation in the standard form:
x 2 a 2 + y 2 b 2 = 1
Then the parametric equations are:
x = ( a ) cos ( t ) and y = ( b ) sin ( t ) ; 0 t < 2 π
The given equation in the above form is:
x 2 3 2 + y 2 9 2 = 1
Then parametric equations are:
x = ( 3 ) cos ( t ) and y = ( 9 ) sin ( t ) ; 0 t < 2 π

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