1. The problem is to create tools to study trigonometry. 2. Trigonometry studies relationships between angles and sides in triangles, especially right triangles. 3. Important formulas include the definitions of sine, cosine, and tangent: $$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}, \quad \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}, \quad \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ 4. The Pythagorean identity is key: $$\sin^2(\theta) + \cos^2(\theta) = 1$$ 5. Tools to study include: - Unit circle visualization to understand angle measures and signs of trig functions. - Graphs of sine, cosine, and tangent functions to see periodicity and amplitude. - Practice problems for calculating side lengths and angles using trig ratios. 6. Using these tools helps build intuition and problem-solving skills in trigonometry.