(3). The pattern of the curve is, Describe in words the overall shape or pattern you expect this curve to trace, based on your results. Are there any "weird" points"?
Consider the parametric equation x=sinā”3t,y=cosā”2t with with t between 0 and 2Ļ.
Find all values of t in [0,2Ļ] where the tangent line to the curve is horizontal.Find all values of t in [0,2Ļ] where the tangent line to the curve is vertical.Describe in words the overall shape or pattern you expect this curve to trace, based on your results. Are there any "weird" points?
(3). The pattern of the curve is
y
x