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10.2 Sum & Difference Formulas

10.2 Sum & Difference Formulas. Tangent. Learning Objectives. To derive and apply formulas for tan(α ± β). Find exact values of angles NOT on unit circle Use the unit circle to help! NO CALCULATORS. Practice Teams – 4th. Juan. Shane. Dom. Greg. Jessie. Ben. Tony. Loren. Andrew.

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10.2 Sum & Difference Formulas

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  1. 10.2 Sum & Difference Formulas Tangent

  2. Learning Objectives • To derive and apply formulas for tan(α ± β). • Find exact values of angles NOT on unit circle • Use the unit circle to help! • NO CALCULATORS

  3. Practice Teams – 4th Juan Shane Dom Greg Jessie Ben Tony Loren Andrew AJ Ian Arian Taylor Zach Dustin Bri Heather Christian Colleen Hunter Andres Preston Ryan Gabbi Keegan Connor

  4. Practice Teams – 7th Megan H. Conner Zach . Z Bobby Sarah Alexa Megan C. Miguel Olivia Emma DJ Hector Drake J. Shaw Fernanda Zach C. Drew Alyssa Nick B. Sam Wahida Jessica Alexis Kayla Jake Aspen Mike

  5. Warm-Up • Simplify: • Describe the relationship between tangent, sine, and cosine. Hint: Conjugate White Board Side 1 White Board Side 2

  6. Let’s Derive!

  7. Let’s Derive!

  8. Formulas! Prove tan(α − β) for homework tonight.

  9. Big Question • How could we use this??? • Hint: How did we use these?

  10. Eliminate complex fractions

  11. Multiply by the conjugate of the denominator FOIL Combine like terms reduce

  12. Multiply by the conjugate of the denominator FOIL Combine like terms reduce

  13. Homework • Page 377 #3, 5, 11, 12, 17

  14. 10.2 Sum & Difference Formulas Tangent Day 2

  15. Homework Questions? • Homework Quiz: Pg. 377 #12

  16. Practice Teams – 4th Juan Shane Dom Greg Jessie Ben Tony Loren Andrew AJ Ian Arian Taylor Zach Dustin Bri Heather Christian Colleen Hunter Andres Preston Ryan Gabbi Keegan Connor

  17. Practice Teams – 7th Megan H. Conner Zach . Z Bobby Sarah Alexa Megan C. Miguel Olivia Emma DJ Hector Drake J. Shaw Fernanda Zach C. Drew Alyssa Nick B. Sam Wahida Jessica Alexis Kayla Jake Aspen Mike

  18. Practice Activity

  19. Homework • Page 377 #4, 6, 18, 23, 24

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