1 / 7

13.6 – The Tangent Function

13.6 – The Tangent Function. 3. 5. 5. 2. 6. The Tangent Function. Use a calculator to find the sine and cosine of each value of  . Then calculate the ratio . 1. radians 2. 30 degrees 3. 90 degrees 4. radians 5. radians 6. 0 degrees. sin

Download Presentation

13.6 – The Tangent Function

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. 13.6 – The Tangent Function

  2. 3 5 5 2 6 The Tangent Function Use a calculator to find the sine and cosine of each value of . Then calculate the ratio . 1. radians 2. 30 degrees 3. 90 degrees 4. radians 5. radians 6. 0 degrees sin cos

  3. sin 3 3 cos 0.5 0.866 3 3 The Tangent Function 1. Sin 0.866; cos = 0.5; 1.73 2. sin 30° = 0.5; cos 30° 0.866; 0.58 3. sin 90° = 1; cos 90° = 0; = , undefined Solutions 0.866 0.5 sin 30° cos 30° 1 0 sin 90° cos 90°

  4. 2 6 6 2 sin sin cos cos 5 5 5 5 5 5 5 5 6 2 2 6 0.5 –0.866 The Tangent Function 4. sin = 0.5; cos –0.866; –0.58 5. sin = 1; cos = 0; = , undefined 6. sin 0° = 0; cos 0° = 1; = = 0 Solutions (continued) 1 0 0 1 sin 0° cos 0°

  5. The Tangent Function Use the graph of y = tan to find each value. a. tan –45° tan –45° = –1 b. tan 0° tan 0° = 0 c. tan 45° tan 45° = 1

  6. 2 period = Use the formula for the period. 1 2 = = 2 Substitute for b and simplify. One cycle occurs in the interval – to . b Asymptotes occur every 2 units, at = – , , and 3 . 1 2 Sketch the asymptotes. Plot three points in each cycle. Sketch the curve. The Tangent Function Sketch two cycles of the graph y = tan .

  7. Step 1: Sketch the graph. Step 2: Use the TABLE feature. When = 18°, the height of the triangle is about 32.5 ft. When = 20°, the height of the triangle is about 36.4 ft. The Tangent Function What is the height of the triangle, in the design from Example 3, when = 18°? What is the height when = 20°?

More Related