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Understanding Sine, Cosine, and Tangent Ratios in Trigonometry

In this lesson, you will learn how to find sine, cosine, and tangent ratios in right triangles. Discover how to calculate these trigonometric ratios and apply them to solve problems. Key topics include the definitions of trigonometric ratios and practical examples, such as calculating distances based on angles and sightlines. Review guided practice and homework problems to reinforce your understanding. Prepare effectively for your test with a comprehensive study guide and review.

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Understanding Sine, Cosine, and Tangent Ratios in Trigonometry

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  1. Lesson 9-8Pages 477-481 Sine, Cosine, and Tangent Ratios Lesson Check 9-7

  2. What you will learn! • How to find sine, cosine, and tangent ratios. • How to solve problems by using the trigonometric ratios.

  3. Vocabulary

  4. Trigonometry: the study of the properties of triangles. Trigonometric ratio: the ratio of the lengths of two sides of a right triangle.

  5. The most common trigonometric ratios are: Sine (sin) Cosine (cos) Tangent (tan)

  6. What you really need to know!

  7. Example 1: Find sin A, cos A, and tan A.

  8. Example 1: Find sin A, cos A, and tan A.

  9. Example 1: Find sin A, cos A, and tan A.

  10. Example 1: Find sin A, cos A, and tan A.

  11. Example 2: Find each value to the nearest thousandth.

  12. Example 3: Find the missing measure. Round to the nearest tenth.

  13. Example 3: Find the missing measure. Round to the nearest tenth.

  14. Example 4: A tourist visiting the Petronas Towers in Kuala Lumpur, Malaysia, stands 261 feet away from their base. The looks at the top at an angle of 80° with the ground. How tall are the towers?

  15. x 80° A 261 ft

  16. Page 479 Guided Practice #’s 3-12

  17. Read: Pages 477-479 with someone at home and study examples!

  18. Homework: Pages 480-481 #’s 14-38 even #’s 44-52 Lesson Check Ch-9

  19. Page 747 Lesson 9-8

  20. Lesson Check Ch-9

  21. Study Guide and Review Pages 483-486 #’s 1-38 (Odd answers in back of book)

  22. Prepare for Test! Page 487 #’s 1-14, 16, 20

  23. Prepare for Test! Pages 488-489 1-23

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