The graph shown is of a trigonometric function that resembles a cosine wave because it reaches a peak at $\theta = 0^\circ$ and has a symmetrical wave pattern around this point. The cosine function starts at its maximum value (1) when the angle is $0^\circ$.

Now, let's determine the coordinates of each labeled point $a$, $b$, $c$, $d$, $e$, and $f$.

1. Point $a$:

   • $\theta = -360^\circ$
   • $y = 1$ (maximum value)
   • Coordinates: $(-360^\circ, 1)$

2. Point $b$:

   • $\theta = -180^\circ$
   • $y = -1$ (minimum value)
   • Coordinates: $(-180^\circ, -1)$

3. Point $c$:

   • $\theta = 0^\circ$
   • $y = 1$ (maximum value)
   • Coordinates: $(0^\circ, 1)$

4. Point $d$:

   • $\theta = 180^\circ$
   • $y = -1$ (minimum value)
   • Coordinates: $(180^\circ, -1)$

5. Point $e$:

   • $\theta = 0^\circ$
   • $y = -1$ (intersects $y = -1$ line)
   • Coordinates: $(0^\circ, -1)$