Understanding Trigonometry Basics
Every right-angled triangle has three sides with specific names that depend on which angle you're working with. The hypotenuse is always the longest side (opposite the right angle), whilst the opposite side faces your chosen angle, and the adjacent side sits between the right angle and your chosen angle.
The magic happens with three simple ratios that never change. Sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, and tan θ = opposite/adjacent. These ratios are your toolkit for solving any right-angled triangle problem.
When you're finding a missing angle, you'll follow a straightforward 5-step method. First, label your triangle sides, then choose which ratio to use based on what information you have. After substituting your numbers, rearrange using the inverse function (like sin⁻¹), then punch it into your calculator.
Quick Tip: Remember SOH-CAH-TOA to memorise the ratios - it's a lifesaver in exams!
