chapter 6 trigonometric functions right triangle approach
Download
Skip this Video
Download Presentation
Section 6.5 Law of Sines

Loading in 2 Seconds...

play fullscreen
1 / 17

Section 6.5 Law of Sines - PowerPoint PPT Presentation


  • 136 Views
  • Uploaded on

Chapter 6 – Trigonometric Functions: Right Triangle Approach. Section 6.5 Law of Sines. Law of Sines. Used for oblique triangles (triangles that do not contain right angles). Law of Sines. We have two possible cases for the law of sines . Case 1 – One side and two angles (ASA or SAA)

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 'Section 6.5 Law of Sines' - pier


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
law of sines
Law of Sines
  • Used for oblique triangles (triangles that do not contain right angles).

6.5 - Law of Sines

law of sines1
Law of Sines
  • We have two possible cases for the law of sines.
    • Case 1 – One side and two angles (ASA or SAA)
    • Case 2 – Two sides and the opposite angle to one of those sides (SSA)

6.5 - Law of Sines

definition
Definition
  • Law of Sines works when we have SAA or ASA.

6.5 - Law of Sines

solving using saa
Solving Using SAA

Solve the triangles below:

a) b)

6.5 - Law of Sines

solving using asa
Solving Using ASA

Solve the triangles below:

a) b)

6.5 - Law of Sines

the ambiguous case ssa
The Ambiguous Case (SSA)

SSA is called an ambiguous case because the given information can result in zero, one, or two triangles.

6.5 - Law of Sines

ssa no triangle
SSA – No Triangle

6.5 - Law of Sines

ssa one triangle
SSA – One Triangle

6.5 - Law of Sines

ssa two triangles
SSA – Two Triangles

6.5 - Law of Sines

examples ssa
Examples - SSA
  • Solve ABC if A = 50, a = 10, and b = 20.

6.5 - Law of Sines

examples ssa1
Examples - SSA
  • Solve ABC if A = 40, a = 54, and b = 62.

6.5 - Law of Sines

example pg 474
Example – pg. 474

6.5 - Law of Sines

example pg 4741
Example – pg. 474

6.5 - Law of Sines

example pg 4742
Example – pg. 474

6.5 - Law of Sines

example pg 475
Example – pg. 475

6.5 - Law of Sines

more practice
More Practice
  • Sketch the triangle. Use the Law of Sines to solve for all possible triangles that satisfy the given conditions.

6.5 - Law of Sines

ad