Proving trigonometric identities involves showing that two different-looking expressions are mathematically equal for all values. While calculators can automate this process, they are best used as a tool to verify your manual steps or to understand the logic behind a transformation. 🛠️ Step-by-Step Proof Guide
To prove an identity manually or to follow a calculator's logic, use these standard strategies: 1. Start with the "Messy" Side
If your expression contains two or more fractions, find a common denominator and combine them into a single fraction. This often reveals a Pythagorean identity in the numerator. 3. Convert to Sine and Cosine