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Mastering Sum and Difference Identities in Trigonometry

Learn the essence of cosine, sine, and tangent identities for sums and differences in trigonometry. Explore practical examples and how these identities showcase the nuances of function algebra vs. real number algebra.

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Mastering Sum and Difference Identities in Trigonometry

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  1. 5.3 Sum and Difference Identities

  2. What you’ll learn about • Cosine of a Difference • Cosine of a Sum • Sine of a Difference or Sum • Tangent of a Difference or Sum • Verifying a Sinusoid Algebraically … and why These identities provide clear examples of how different the algebra of functions can be from the algebra of real numbers.

  3. Cosine of a Sum or Difference

  4. Example Using the Cosine-of-a-Difference Identity

  5. Example Using the Cosine-of-a-Difference Identity

  6. Sine of a Sum or Difference

  7. Example Using the Sum and Difference Formulas

  8. Example Using the Sum and Difference Formulas

  9. Tangent of a Difference of Sum

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