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6.3 Proving Trigonometric Identities Day 1

6.3 Proving Trigonometric Identities Day 1. Do Now Simplify. HW Review: p.554 #17-21 25 27 31. Proving Identities. When proving identities, the goal is to rewrite one side of the identity until it equals the other side. Hints for Proving Identities. Work with the more complex side first

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6.3 Proving Trigonometric Identities Day 1

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  1. 6.3 Proving Trigonometric IdentitiesDay 1 Do Now Simplify

  2. HW Review: p.554 #17-21 25 27 31

  3. Proving Identities • When proving identities, the goal is to rewrite one side of the identity until it equals the other side

  4. Hints for Proving Identities • Work with the more complex side first • Any algebraic manipulation is valid as long as you don’t change the value • Multiply by 1, add and subtract the same #, etc • Convert all expressions to sines and cosines • Any formulas we’ve used in 6.1 or 6.2 can be used

  5. Ex1 • Prove

  6. Ex2 • Prove the identity

  7. Ex3 • Prove the identity

  8. Closure • Prove the identity • HW: p.562 #1-29 every other odd

  9. 6.3 Proving Trigonometric IdentitiesDay 2 • Do Now • Prove

  10. HW Review: p.562 #1-29 EOO

  11. Ex1 • Prove the identity

  12. Ex2 • Prove the identity

  13. Closure • Prove the identity • HW: p.562 #1-29 AOO • 6.1-6.3 Quiz Tuesday OPEN BOOK

  14. Proving Trigonometric IdentitiesDay 3 • Do Now • Prove the identity

  15. HW Review: p.562 #1-29 AOO

  16. Product-to-Sum Identities

  17. Ex • Find an identity for 2sin3xcos7x

  18. Sum-to-Product Identities

  19. Ex • Find an identity for cosx + cos5x

  20. Closure • Find an identity for cos2xsinx • HW: p.563 #33-49 odds

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