Download presentation

Presentation is loading. Please wait.

Published byBraulio Beachley Modified over 3 years ago

1
13.6 – The Tangent Function

2
The Tangent Function Use a calculator to find the sine and cosine of each value of . Then calculate the ratio. 1. radians2.30 degrees 3.90 degrees4. radians 5. radians6.0 degrees sin cos 3 5 2 5 6

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 33 sin 3 cos 3 0.866 0.5 sin 30° cos 30° 0.5 0.866 sin 90° cos 90° 1010 Solutions

4
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 5 6 5 6 sin 5 6 cos 5 6 0.5 –0.866 5 2 5 2 sin 5 2 cos 5 2 1010 sin 0° cos 0° 0101 Solutions (continued)

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
Sketch the asymptotes. The Tangent Function Sketch two cycles of the graph y = tan. period = Use the formula for the period. b = = 2 Substitute for b and simplify. 1212 1212 One cycle occurs in the interval – to. Plot three points in each cycle. Sketch the curve. Asymptotes occur every 2 units, at = –,, and 3. 2

7
The Tangent Function What is the height of the triangle, in the design from Example 3, when = 18°? What is the height when = 20°? 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.

Similar presentations

OK

GRAPHS of Trig. Functions. We will primarily use the sin, cos, and tan function when graphing. However, the graphs of the other functions sec, csc, and.

GRAPHS of Trig. Functions. We will primarily use the sin, cos, and tan function when graphing. However, the graphs of the other functions sec, csc, and.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on power system transient stability Ppt on polynomials and coordinate geometry proof Ppt on combination of resistances barb Ppt on limits and derivatives quiz Ppt on text to speech converter free download Plain backgrounds for ppt on social media Vector scan display ppt online Ppt on high power transmission Ppt on seven wonders of the world 2013 Ppt on chromosomes and genes labeling