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Sum and Difference Formulas

Sum and Difference Formulas. Unit #5, Day 2. teachers.henrico.k12.va.us/.../5_4%20notes-. Learn these!!. How do we use this?. Finding exact values of trig expressions Split the given number into the sum/difference of unit circle values we know Change the problem using the correct formula

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Sum and Difference Formulas

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  1. Sum and Difference Formulas Unit #5, Day 2 teachers.henrico.k12.va.us/.../5_4%20notes- ...

  2. Learn these!!

  3. How do we use this? Finding exact values of trig expressions • Split the given number into the sum/difference of unit circle values we know • Change the problem using the correct formula • Simplify by replacing in trig values

  4. 1. Split 75o into 30o + 45o Example: Find the exact values 2. Use the cosine formula 3. Replace with Trig values

  5. Find the exact value of 4

  6. 1. Look at your formulas. Which one does it match? Examples: Find the exact values 2. What is u and v? 3. Plug in to the left-hand side and simplify, if possible

  7. REMEMBER: Likewise,

  8. 1. Look at your cosine formula. You need to know sinv and cosu Find cos(u-v) if and 2. Draw the triangles for each given function 3. Find the missing sides 4. Find sinv and cosu 5. Put it all in your formula!

  9. Homework • Page 586 • #51, 52, 57-60, 65, 67, 68, 70-76

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