1 / 17

Warm-Up 3/24-25

Warm-Up 3/24-25. What are three basic trigonometric functions and the their ratios?. Sine: sin . Cosine: cos . Tangent: tan .

brit
Download Presentation

Warm-Up 3/24-25

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. Warm-Up 3/24-25 What are three basic trigonometric functions and the their ratios? Sine: sin  Cosine: cos Tangent: tan 

  2. Rigor:You will learn how to solve right triangles, and find the three basic trigonometric ratios.Relevance:You will be able to solve real world problems using trigonometric ratios.

  3. Trig 1: Right Triangle Trigonometry

  4. Special Right Triangles 45ᵒ- 45ᵒ- 90ᵒ: both legs are congruent and the length of the hypotenuse is times the length of a leg. 30ᵒ- 60ᵒ- 90ᵒ: The length of the hypotenuse is 2 times the shorter leg and the other leg is times the shorter leg.

  5. Example 1: Solve the triangles. a. b. x s 60ᵒ x 45ᵒ x 30ᵒ

  6. Trigonometric Ratios: ratios of sides of a right triangle. hypotenuse hyp opposite adj adjacent opp

  7. 3 Basic Trigonometric Ratios: 3 basic:

  8. Since any two right triangles with angle are similar, side ratios are the same, regardless of the size of the triangle. 50 30 5 3 4 40

  9. Example 2: Find the exact values of the 3 basic Trigonometric functions of 7 hyp θ adj 3 opp

  10. Example 3: If , find the exact values of the 2 remaining basic trigonometric functions. 3 1

  11. ° 7 hyp x Example 4: Find the value of . Round to the nearest tenth, if necessary. adj Make sure your calculator is in degrees.

  12. hyp 12 Example 5: Use a trigonometric function to find the measure of . Round to the nearest degree. 15.7 opp

  13. Checkpoints: 1. Fill out chart with exact values. 3. Find the measure of . 2. Find the value of .

  14. Assignment: Special Right Triangles & Trig Worksheet, 1-22 all

  15. 7th Warm-Up 3/25 1. Find the value of .

  16. Assignment: Special Right Triangles & Trig Worksheet, 1-22 all

More Related