Exercise 5.6

x = 2at2, y = at4 2. x = a cos θ, y = b cos θ

x = a (cos θ + θ sin θ), y = a (sin θ - θ cos θ)

If 1 1sin cos, , show thatt t dy yx a y a dx x − − = = = −

x = sin t, y = cos 2t 4. x = 4t, y = 4 t

x = cos θ - cos 2θ, y = sin θ - sin 2 θ

x = a (θ - sin θ), y = a (1 + cos θ) 7. x = 3sin cos² t t , 3cos cos² ty t =

cos logtan 2 tx a t  = +   y = a sin t 9. x = a sec θ, y = b tan θ