Consider the curve given by the parametric equations z =

Last updated: 7/15/2022

Consider the curve given by the parametric equations z = sint, y = sin(t + sint) where -∞ < t < ∞. Note that it has two tangents at the origin (0,0) since both t = 0 and t = π corresond to the origin. Find the equations of the two tangents to the curve at the origin.