Trigonometric ratios are really important for Year 12 Math students for a few reasons:

1. Building Blocks for More Advanced Topics:

   • Knowing about $sin$, $cos$, and $tan$ is super important if you want to learn calculus later on. These ratios help with things like differentiation and integration.

2. Understanding the Unit Circle:

   • The unit circle is a great tool for seeing trigonometric functions in action. The points on this circle represent coordinates like $(cos \theta, sin \theta)$. This helps us find values for popular angles, such as $30^\circ$, $45^\circ$, and $60^\circ$.

3. How It's Used in Real Life:

   • Trigonometric ratios come up in many fields, like physics, engineering, and computer science. In fact, about 60% of engineering problems involve these trigonometric ideas!

4. Why It's Important for Tests:

   • Trigonometry makes up around 15% of the math tests at the AS-Level. This means understanding it is key to doing well as a student.