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Cole Walter
Mathematics
5 June, 16:41
Eliminate the parameter.
x = 3 cos t, y = 3 sin t
+1
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1
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Jensen Riley
5 June, 17:11
0
x^2+y^2 = 3^2
Step-by-step explanation:
We need to eliminate the parameter t
Given:
x = 3 cos t
y = 3 sin t
Squaring the above both equations
(x) ^2 = (3 cos t) ^2
(y) ^2 = (3 sin t) ^2
x^2 = 3^2 cos^2t
y^2=3^2 sin^2t
Now adding both equations
x^2+y^2=3^2 cos^2t+3^2 sin^2t
Taking 3^2 common
x^2+y^2=3^2 (cos^2t+sin^2t)
We know that cos^2t+sin^2t = 1
so, putting the value
x^2+y^2=3^2 (1)
x^2+y^2 = 3^2
Hence the parameter t is eliminated.
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