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Warm-Up

Warm-Up. Pg. 454 #56, 58. Warm-Up pg. 454. 5 (3) = x 15 = x. Warm-Up pg. 454. 0.5 k = 10 k = 10 / 0.5 k = 20. Homework Questions. Homework Answers. H. H. O. A. O. A. Homework Answers. A. O. H. H. O. A. O. H. O. A. H. A. Homework Answers. O. H. O. A. H. A.

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Warm-Up

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  1. Warm-Up Pg. 454 #56, 58

  2. Warm-Up pg. 454 5 (3) = x 15 = x

  3. Warm-Up pg. 454 0.5 k = 10 k = 10 / 0.5 k = 20

  4. Homework Questions

  5. Homework Answers H H O A O A

  6. Homework Answers A O H H O A O H O A H A

  7. Homework Answers O H O A H A

  8. Homework Answers YZ XY XZ

  9. Homework Answers HU IU HI

  10. Homework Answers K J L

  11. Homework Worksheet: DAILY GRADE!!! Turn your worksheet into the substitute. If you do not have your worksheet to turn in right now, please write the missing assignment note!

  12. Lesson 8-4 Trigonometry Day #2 pp. 456-462

  13. Objectives • Find trigonometric ratios using right triangles. • Solve problems using trigonometric ratios.

  14. Benchmarks • 1b. Given exact irrational solutions, determine the best rational estimation. (DOK 2) • 1c. Solve real-world or application problems that involve square roots and the Pythagorean Theorem. (DOK 3) • 4b. Solve real-world applications and mathematical problems to find missing measurements in right triangles by applying special right triangle relationships, geometric means, or trigonometric functions. (DOK 2) • 4e. Apply the relationships of sine, cosine, and tangent to problems involving right triangles. (DOK 2)

  15. Sine B Sin A = leg opposite of A hypotenuse leg opposite of A hypotenuse A C

  16. Cosine B Cos A = leg adjacent to A hypotenuse hypotenuse A C leg adjacent to A

  17. Tangent B Tan A = leg opposite A leg adjacent A leg opposite A A C leg adjacent to A

  18. Memory Hint #1 SIN: OPPOSITE OVER HYPOTENUSE COS: ADJACENT OVER HYPOTENUSE TAN: OPPOSITE OVER ADJACENT SOH-CAH-TOA

  19. Memory Hint #2 Some Old Hag Cracked All Her Teeth On Apples SIN: OPPOSITE OVER HYPOTENUSE COS: ADJACENT OVER HYPOTENUSE TAN: OPPOSITEOVER ADJACENT

  20. Check Your Progress p. 456 K • Find sin J, cos J, tan J, sin K, cos K, and tan K. Express each ratio as a fraction and as a decimal. 13 5 J L 12

  21. First, label thesides. H H A O A O Check Your Progress p. 456 Now, for angle K, label the O, A, & H. For angle J, label the O, A, & H. K sin J = cos J = tan J = sin K = cos K = tan K = 13 5 J L Fraction & Decimal Fraction & Decimal 12 5 / 13 = 0.3846 12 / 13 = 0.9231 12 / 13 = 0.9231 5 / 13 = 0.3846 5 / 12 = 0.4167 12 / 5 = 2.4

  22. Note You can use the calculator to find the trigonometric ratios. Be sure your calculator is in degree mode. Press the DRG button to swap between the different modes. The screen should read DEG.

  23. Check Your Progress p. 458 2. Sin 67 = 0.9205 In the calculator, Type 67 Press the “SIN” button.

  24. Check Your Understanding p. 460 3. Sin 57 = 0.8387 4. Cos 60 = 0.5 5. Cos 33 = 0.8387 6. Tan 30 = 0.5774 7. Tan 45 = 1 8. Sin 85 = 0.9962

  25. Questions

  26. Assignment Practice Extra Practice GeometryOnline.com Self-Check Quiz Lesson 8-4 p. 460 #14 – 23

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