*WILL MEDAL*
A curve C has the parametrization x = a sint cosα , y = bsint sinα , z = c cost, t ≥ 0 where a, b, c, α are all positive constants
a)Show that C lies on the ellipsoid x^2/a^2 +y^2/b^2+z^2/c^2=1
(b) Show that C also lies on a plane that contains the z-axis
(c) Describe the curve C. Give its equation
I understand how to get a , by replacing the values for x,y,and z, but I am having trouble how to explain b and c. can someone please help thank you!

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