Lesson 9 9 introduction to trigonometry
Download
1 / 10

Lesson 9.9 Introduction To Trigonometry - PowerPoint PPT Presentation


  • 214 Views
  • Uploaded on

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.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Lesson 9.9 Introduction To Trigonometry' - lunea-clark


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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
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.

The concept of similar triangles and the Pythagorean Theorem can be used to develop trigonometry of right triangles


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 =



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


Example 1 formalize these relationships by naming the ratios of sides. You should memorize these three basic ratios.

Find:

a.

b.

B

c

5

C

A

12


Example 2 formalize these relationships by naming the ratios of sides. You should memorize these three basic ratios.

Find the three trigonometric ratios for angles A and B

B

5

3

C

A

4


Example 3 formalize these relationships by naming the ratios of sides. You should memorize these three basic ratios.

Triangle ABC is an isosceles triangle, find sin C

A

13

13

B

C

10


Example 4 formalize these relationships by naming the ratios of sides. You should memorize these three basic ratios.

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


Summary formalize these relationships by naming the ratios of sides. You should memorize these three basic ratios.

Summarize in your own words how to find the sin, cos, and tangent of a 30-60-90 triangle.

Homework:

Worksheet 9.9


ad