Quiz 11.1:
Question:
Convert the following parametric equation to Cartesian form and then sketch a graph with the direction of motion labelled.
\( x = 1 + \sin t \)
\( y = \cos t - 2\)
Solution:
\( \sin ^2 t + \cos ^2 t = 1 \)
\( (x-1)^2 + (y+2)^2 = 1 \)
The direction of motion should be labelled as clockwise