Sketch the graph of trigonometry.you sketch it

Draw a horizontal axis for $\theta$ and a vertical axis for $y$.
Label the $\theta$-axis with increments of $30^\circ$ (e.g., $0^\circ, 30^\circ, 60^\circ, 90^\circ, 120^\circ$).
Label the $y$-axis with values from -1 to 1 (e.g., -1, 0, 1).

• Start at the origin: Plot a point at $(0^\circ, 0)$.
• Rise to the maximum: Plot a point at $(30^\circ, 1)$.
• Return to the axis: Plot a point at $(60^\circ, 0)$.
• Fall to the minimum: Plot a point at $(90^\circ, -1)$.
• Return to the axis: Plot a point at $(120^\circ, 0)$.

Connect these plotted points with a smooth, wave-like curve. The curve should start at $(0^\circ, 0)$, go up to $(30^\circ, 1)$, come down through $(60^\circ, 0)$, continue down to $(90^\circ, -1)$, and then rise back up to $(120^\circ, 0)$. This completes one full cycle of the sine wave.

Draw a horizontal axis for $\theta$ and a vertical axis for $y$.
Label the $\theta$-axis with increments of $30^\circ$ (e.g., $0^\circ, 30^\circ, 60^\circ, 90^\circ, 120^\circ$).
Label the $y$-axis with values from -1 to 1 (e.g., -1, 0, 1).

• Start at the maximum: Plot a point at $(0^\circ, 1)$.
• Cross the axis: Plot a point at $(30^\circ, 0)$.
• Fall to the minimum: Plot a point at $(60^\circ, -1)$.
• Cross the axis: Plot a point at $(90^\circ, 0)$.
• Return to the maximum: Plot a point at $(120^\circ, 1)$.

Connect these plotted points with a smooth, wave-like curve. The curve should start at $(0^\circ, 1)$, go down through $(30^\circ, 0)$, continue down to $(60^\circ, -1)$, then rise through $(90^\circ, 0)$, and finally go up to $(120^\circ, 1)$. This completes one full cycle of the cosine wave.