1. The problem is to understand and solve a basic trigonometry question. 2. Trigonometry deals with the relationships between the angles and sides of triangles, especially right triangles. 3. The fundamental 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. Important rules include the Pythagorean identity: $$\sin^2(\theta) + \cos^2(\theta) = 1$$ 5. To solve a trigonometry problem, identify the given sides or angles, choose the appropriate formula, and solve for the unknown. 6. For example, if given an angle $\theta$ and the hypotenuse, to find the opposite side: $$\text{opposite} = \sin(\theta) \times \text{hypotenuse}$$ 7. Always check your answers for reasonableness and use a calculator if necessary to evaluate trigonometric functions. 8. This explanation covers the basics of trigonometry needed to approach typical problems.