2. (Python programming) The butterfly curve is given by the following parametric equations x- sin(t) (eco%(C) - 2 cos(4t)- sins y = cos(t) ecos(t)--2 cos(4t)-sin5 Generate values of x and y for values of t from 0 to 100 with At-1/16. Construct the plots of (a) x and y versus t and (b) x versus y. Use subplot to stack the two plots vertically and make the plot in (b) square. Include titles and axis labels on both plots and a legend for (a). For (a), employ a dotted line for y