Here is the plot of the curve for $x = -\sin t$ and $y = \cos t$ over the interval $0 \leq t \leq \pi$. The curve traces a half-circle on the left side of the unit circle, starting at $(0, 1)$ and ending at $(0, -1)$.

Would you like a step-by-step explanation of the drawing process or have any questions?

Here are some related questions:

1. How do parametric equations define curves in the plane?
2. What happens if we change the range of $t$ beyond $[0, \pi]$?
3. How would the curve change if we used $x = \sin t$ and $y = \cos t$ instead?
4. How can we derive the equation of this curve in Cartesian form?
5. What types of shapes can be created using trigonometric functions in parametric equations?

Tip: When working with parametric equations, try plotting sample points to get a sense of the curve’s direction and shape.