Fundamental Trigonometric Identities
Guidelines for Proving Trigonometric Identities
1. Start with one side. Pick one side of the equation and write it down. Your goal is to transform it into
the other side. It’s usually easier to start with the more complicated side.
2. Use known identities. Use algebra and the identities you know to change the side you started with.
Bring fractional expressions to a common denominator, factor, and use the fundamental identities to
simplify expressions.
3. Convert to sines and cosines. If you are stuck, you may find it helpful to rewrite all functions in
terms of sine and cosine.
Examples:
Sum and Difference Formulas
Examples:
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