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Proving Trig Identities: Strategies and Tips

Learn how to prove trigonometric identities by manipulating both sides until they are equal, using various strategies and tips. Work through examples to understand the process fully.

berenice-shannon
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Proving Trig Identities: Strategies and Tips

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  1. Section 3-2 Proving Trig Identities

  2. Objective • In this section we will prove that two identities are equal.

  3. Solving Trig Identities • YOU WILL SOLVE THESE TWO DIFFERENT WAYS • Start with one side, and manipulate until it equals the other side • Manipulate both sides until they are equal

  4. Strategies/Tips • If one of the sides of the identity has a fraction, try to get a common denominator and combine. • Try to rewrite one side in terms of only sinx and cosx. • If one of the sides is in factored form, try multiplying it out.

  5. Strategies/Tips 4. Work with the more complicated side first 5. When there is a squared function ( ) you will usually use one of the Pythagorean identities. 6. When both sides are complicated, simplify both so they match

  6. Example

  7. Example

  8. Example

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