1 / 9

The Sine Rule.

A. b o. C. a o. c o. B. The Sine Rule. c o. B. A. a o. b o. C. Finding The Sine Rule. Consider the triangle below:. H. Add the altitude line as shown. H is the height of the triangle. Now write the sine ratio for each right angled triangle:. H =. A sin b o. H =. B sin a o.

fpearl
Download Presentation

The Sine Rule.

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. A bo C ao co B The Sine Rule.

  2. co B A ao bo C Finding The Sine Rule. Consider the triangle below: H Add the altitude line as shown. H is the height of the triangle. Now write the sine ratio for each right angled triangle: H = A sin bo H = B sin ao Look at these two results and try to work out the next line:

  3. co B A H = A sin bo H = B sin ao ao bo C A sin bo = B sin ao Now divide both sides by sin bo and sin ao . By changing the letters around we can prove that: The Sine Rule.

  4. L 10m 34o 41o Calculating Sides Using The Sine Rule. Example 1 Find the length of L in this triangle. Match up corresponding sides and angles: Now cross multiply. Solve for L.

  5. Example 2 10m 133o 37o L Find the length of L in this triangle. Match up corresponding sides and angles: Now cross multiply. Solve for L. = 12.14m

  6. 12cm B (1) (2) 47o 32o A 72o 93o 16mm 17m (4) (3) 143o C 89m 12o 87o 35o D What Goes in the Box ? 1 Find the unknown side in each of the triangles below: B = 21.8mm A = 6.7cm C = 51.12m D = 49.21m

  7. 45m 38m 23o ao Calculating Angles Using The Sine Rule. Example 1. Find the angle ao Match up corresponding sides and angles: Now cross multiply: Solve for sin ao = 0.463 Use sin-1 0.463 to find ao

  8. 75m bo 143o 38m Example 2. Find the size of the angle bo Match up corresponding sides and angles: Cross multiply. Solve for sinbo = 0.305 Use sin-1 0.305 to find bo

  9. (1) 8.9m 100o (2) ao 12.9cm bo 14.5m 14o (3) 93o 49mm 14.7cm co 64mm What Goes In The Box ? 2 Calculate the unknown angle in the following: ao = 37.2o bo = 16o c =49.9o

More Related