parametric equation 2

Question

Graph the pair of the parametric equation.

 

x = 7 sin t + sin 7t
y = 7 cos t + cos 7t 

Answer 1

The pair of parametric equations are

x = 7 sint + sin 7t

y = 7 cost + cos 7t

Compare it to parametic equations are x = N sint - sinNt

y = N cost - cos Nt

In this case N = 7

Therefore in the graph , The number of petals N - 1 in the epicycloid.

The number of petals is 6.

Graph