1 / 10

Lesson 9.9 Introduction To Trigonometry

Lesson 9.9 Introduction To Trigonometry. Objective: After studying this section, you will be able to understand three basic trigonometric relationships. This section presents the three basic trigonometric ratios sine , cosine , and tangent.

lunea-clark
Download Presentation

Lesson 9.9 Introduction To Trigonometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Lesson 9.9 Introduction To Trigonometry Objective: After studying this section, you will be able to understand three basic trigonometric relationships

  2. This section presents the three basic trigonometric ratios sine, cosine, and tangent. The concept of similar triangles and the Pythagorean Theorem can be used to develop trigonometry of right triangles

  3. Consider the following 30-60-90 triangles Compare the length of the leg opposite the 30 angle with the length of the hypotenuse in each triangle. J E B k = 6 f = 4 h = 3 d = 2 c = 2 a = 1 A H D C F K e = j = b =

  4. By using similar triangles, we can see that in every 30-60-90 triangle

  5. Engineers and Scientist have found it convenient to formalize these relationships by naming the ratios of sides. You should memorize these three basic ratios.

  6. Example 1 Find: a. b. B c 5 C A 12

  7. Example 2 Find the three trigonometric ratios for angles A and B B 5 3 C A 4

  8. Example 3 Triangle ABC is an isosceles triangle, find sin C A 13 13 B C 10

  9. Example 4 Use the fact that tan 40 is approximately 0.8391 to find the height of the tree to the nearest foot. h 50 ft 40

  10. Summary Summarize in your own words how to find the sin, cos, and tangent of a 30-60-90 triangle. Homework: Worksheet 9.9

More Related