SOLUTION: Find an equation in x and y whose graph contains the points on the curve C.
x = 5 sin t, y = 6 cos t; 0 ≤ t ≤ 2π
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Question 818717: Find an equation in x and y whose graph contains the points on the curve C.
x = 5 sin t, y = 6 cos t; 0 ≤ t ≤ 2π
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
x = 5 sin t, y = 6 cos t
Solve the first equation for sin(t):
and the second equation for cos(t):
Square both sides of both equations:
,
,
Add the two equations together:
You might see now why we've done what we've done. The right side should be recognized as a 1:
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