1. The problem asks to create pictures for all angles, which typically means illustrating angles in a circle or coordinate system. 2. To represent all angles, we use the unit circle where each angle $\theta$ corresponds to a point $(\cos\theta, \sin\theta)$ on the circle. 3. The formula for coordinates on the unit circle is: $$x = \cos\theta, \quad y = \sin\theta$$ 4. Important rules: - Angles are measured in degrees or radians. - One full rotation is $360^\circ$ or $2\pi$ radians. - The sine and cosine functions repeat every $2\pi$ radians. 5. To visualize all angles, we consider $\theta$ from $0$ to $2\pi$ radians. 6. The graph of $y = \sin x$ and $y = \cos x$ shows how these values change with angle. 7. This helps understand the relationship between angles and their sine and cosine values. Final answer: The function $y = \sin x$ or $y = \cos x$ represents all angles on the unit circle.