13 (a) Sketch the graph of $y = ext{sin} \, x$ for $0^{\circ} \leq x < 360^{\circ}$ - OCR - GCSE Maths - Question 13 - 2020 - Paper 1

To sketch the graph of $y = ext{sin} \, x$, we can follow these steps:

1. Determine Key Points: The sine function starts at 0, reaches a maximum of 1 at $90^{\circ}$, returns to 0 at $180^{\circ}$, reaches a minimum of -1 at $270^{\circ}$, and returns to 0 at $360^{\circ}$. These key points can be calculated as follows:

   • $\text{sin}(0^{\circ}) = 0$
   • $\text{sin}(90^{\circ}) = 1$
   • $\text{sin}(180^{\circ}) = 0$
   • $\text{sin}(270^{\circ}) = -1$
   • $\text{sin}(360^{\circ}) = 0$

2. Plot Points: Plot the points (0,0), (90,1), (180,0), (270,-1), and (360,0) on the graph.

3. Draw the Curve: Connect the points with a smooth curve, forming a wave pattern that peaks at $90^{\circ}$ and reaches a trough at $270^{\circ}$.

4. Label Axes: Label the x-axis from $0$ to $360^{\circ}$ and y-axis from -1 to 1.