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Basic Trigonometric Identities

Basic Trigonometric Identities. Section 15.1. Recall Basic Trig Identities. Pythagorean Identities. Strategy for Proving Identities. Separate the equation into a left-side expression and right-side expression and work with these separately.

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Basic Trigonometric Identities

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  1. Basic Trigonometric Identities Section 15.1

  2. Recall Basic Trig Identities

  3. Pythagorean Identities

  4. Strategy for Proving Identities • Separate the equation into a left-side expression and right-side expression and work with these separately. • Simplify the more complicated side, looking for ways to use the basic trig identities • After simplifying one side as much as you can, try working with the other side until both sides are the same. • Worst case scenario: express both sides in terms of sine and cosine. Then, clean up your mess. 

  5. EXAMPLE: (note restrictions) • Prove

  6. EXAMPLE: (note Restrictions) • Prove

  7. EXAMPLE: (note Restrictions) • Prove

  8. EXAMPLE: (Note Restrictions) • Prove:

  9. Homework: • p. 663-665, #9-27(odd)

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