Consider a particle following the parametric equations
x = 1 + sin(pi*t)
y = 3*sin(3*pi*t)
Find the first four positive times t when this particle visits the point (3/2, 3/2) and list them in increasing order.
+1622 The x coordinate can never reach the value of 3/2, but the y value can.
After some calculations, you'll see that when t = 25/18, it reaches 3/2. Then add 2 every time, so the second time it reaches will be at 61/18, then 97/18 then 133/18.
\({25\over18}, {61\over18}, {97\over18}, {133\over18}\)
