The graph represents a sine function, specifically $y = \sin(x)$. Let's identify the coordinates of the points $a, b, c, d, e,$ and $f$:

1. Point a: This point is at $x = -360^\circ$ and $y = 0$.

   • Coordinates of $a$ are $(-360^\circ, 0)$.

2. Point b: This point is at $x = -270^\circ$ where the sine function reaches its minimum value, $y = -1$.

   • Coordinates of $b$ are $(-270^\circ, -1)$.

3. Point c: This point is at $x = -180^\circ$ and $y = 0$.

   • Coordinates of $c$ are $(-180^\circ, 0)$.

4. Point d: This point is at $x = -90^\circ$ where the sine function reaches its maximum value, $y = 1$.

   • Coordinates of $d$ are $(-90^\circ, 1)$.

5. Point e: This point is at $x = 0^\circ$ and $y = 0$.

   • Coordinates of $e$ are $(0^\circ, 0)$.

6. Point f: This point is at $x = 90^\circ$ where the sine function reaches its minimum value, $y = -1$.

   • Coordinates of $f$ are $(90^\circ, -1)$.

Here's the summary of the coordinates:

• $a: (-360^\circ, 0)$
• $b: (-270^\circ, -1)$
• $c: (-180^\circ, 0)$
• $d: (-90^\circ, 1)$
• $e: (0^\circ, 0)$
• $f: (90^\circ, -1)$

Would you like more details or have any questions?

Related Questions

1. What are the coordinates of the next peak point after $f$?
2. How does the period of the sine function relate to the given graph?
3. What is the amplitude of this sine function?
4. What are the x-intercepts of the sine function within one period?
5. How would the graph change if it represented a cosine function instead?
6. What is the phase shift of the function if it starts at $(0^\circ, 1)$?
7. How can you determine the wavelength of the sine wave from the graph?
8. What are the coordinates of the midpoints between the peaks and troughs?

Tip

When analyzing trigonometric graphs, always identify the amplitude, period, and phase shift to understand the behavior of the function.