SOLUTION: Eliminate the parameter. x = 4 cos t, y = 4 sin t

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Question 1137323: Eliminate the parameter.
x = 4 cos t, y = 4 sin t
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
x = 4*cos(t),

y = 4*sin(t) 


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x%5E2 + y%5E2 = 16%2Acos%5E2%28t%29 + 16%2Asin%5E2%28t%29 =  16%2A%28cos%5E2%28t%29+%2B+sin%5E2%28t%29%29 = 16.


Thus you get the equation


x%5E2 + y%5E2 = 16.


It is the equation of the circle of the radius 4 centered at the origin of the coordinate system in (x,y)-coordinate plane.

Completed and solved.

The result of the elimination is an equation of the circle.