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Solve or state where you got stuck.

ET 5.5a. Solve or state where you got stuck. Two Different Trig functions: Strategy  Change to same trig function. Square both sides to use Pythagorean Identity. Everything to one side = 0. Factor. Double-Angle Formulas.

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Solve or state where you got stuck.

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  1. ET 5.5a Solve or state where you got stuck. Two Different Trig functions: Strategy  Change to same trig function Square both sides to use Pythagorean Identity. Everything to one side = 0 Factor

  2. Double-Angle Formulas

  3. The only trig property we used to know that relates sine and cosine is Pythagorean Identity. It failed so… Solve. OH – We now know double angle formulas that relate sine and cosine. Everything to one side = 0; factor & solve.

  4. Which one does it look most like? Use a Double-Angle Formula to rewrite the equation It comes down to two choices. What are they? Why would you want to do this? Now it is in a form you know recognize and know a lot about the parent function.

  5. Evaluate Given such that Draw a triangle using given info. 5 -12 13

  6. Evaluate Given such that Start by drawing a triangle given this info. 5 -12 13

  7. 5.5 Assignments • Day 1: 3,5,7,9,11, 19, 21, 23, 25 • Day 2: 35, 41, 49, 59, 63, 75, 81, 95, 111

  8. ET 5.5b: Derive the triple angle formula • Hints: • Derive could be taken as establish. • sin3x = sin(2x + x)

  9. Copy all of the following • Pg 410: Half-Angle Formulas • Pg 411: Product-to-Sum Formulas • Pg 412: Sum-to-Product Formulas

  10. Using a half-angle formula find the exact value of sin(105°). sin(105°)= WHAT QUADRANT? + II S A T C ?

  11. Rewrite the product cos(5x)sin(4x) as a sum or difference. u v

  12. Using the sum-to-product formulas find the exact value of cos(195°) + cos(105°)

  13. Solve Solve the trig equation sin5x + sin3x = 0 Let u = 4x u 4x 4x

  14. 5.5 Assignments • Day 1: 3,5,7,9,11, 19, 21, 23, 25 • Day 2: 35, 41, 49, 59, 63, 75, 81, 95, 111

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