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Right Triangles and Trigonometry

Right Triangles and Trigonometry. Geometry Chapter 8. 8-1 The Pythagorean Theorem and its converse. We are familiar with the Pythagorean Theorem:. 8-1 The Pythagorean Theorem and its converse. 8-1 The Pythagorean Theorem and its converse. 8-1 The Pythagorean Theorem and its converse.

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Right Triangles and Trigonometry

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  1. Right Triangles and Trigonometry Geometry Chapter 8

  2. 8-1 The Pythagorean Theorem and its converse • We are familiar with the Pythagorean Theorem:

  3. 8-1 The Pythagorean Theorem and its converse

  4. 8-1 The Pythagorean Theorem and its converse

  5. 8-1 The Pythagorean Theorem and its converse

  6. 8-1 The Pythagorean Theorem and its converse

  7. 8-1 The Pythagorean Theorem and its converse

  8. 8-1 The Pythagorean Theorem and its converse

  9. 8-2 Special Right Triangles • For each triangle, use the Pythagorean theorem to find the length of the hypotenuse. Leave the answer in simplest radical form. 2 4 2 5 4 5

  10. 8-2 Special Right Triangles

  11. 8-2 Special Right Triangles

  12. 8-2 Special Right Triangles

  13. 8-2 Special Right Triangles

  14. 8-2 Special Right Triangles

  15. 8-2 Special Right Triangles • solve for the missing sides – leave you answer in radical form.

  16. 8-2 Special Right Triangles • Homework: 420 (1-25) odd • 428 (1-15) odd

  17. 8-3 The Tangent Ratio • Warm Up

  18. 8-3 The Tangent Ratio • For each pair of complementary angles ∠A and ∠B, there is a family of similar right triangles. • In each family the ratio: • is constant no matter the size of ∆ABC

  19. 8-3 The Tangent Ratio • This trigonometric ratio is called the tangent ratio.

  20. 8-3 The Tangent Ratio

  21. 8-3 The Tangent Ratio

  22. 8-3 The Tangent Ratio

  23. 8-4 The Sine and Cosine Ratios

  24. 8-4 The Sine and Cosine Ratios

  25. 8-4 The Sine and Cosine Ratios • One way to remember which ratio corresponds to each trig function is to remember the word: SOH-CAH-TOA • SOH: sine opposite over hypotenuse • CAH: cosine adjacent over hypotenuse • TOA: tangent opposite over adjacent

  26. 8-4 The Sine and Cosine Ratios

  27. 8-4 The Sine and Cosine Ratios

  28. 8-5 Angles of Elevation and Angles of Depression

  29. 8-5 Angles of Elevation and Angles of Depression

  30. 8-5 Angles of Elevation and Angles of Depression

  31. 8-5 Angles of Elevation and Angles of Depression

  32. 8-5 Angles of Elevation and Angles of Depression • homework • page 441 (1-16) all • page 447 (1-14) all • Chapter 8 test next week Tuesday/Wednesday

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