1 / 8

Aim: What is the law of cosine?

Aim: What is the law of cosine?. Do Now: In. AB = c , BC = a , and AC = b. y. 1. In Δ ACD, find cos A. C ( x , y ). 2. In Δ ACD, find sin A. a. b. y. c. x. x. B (c,0). D. A. HW: p.555 # 10,16,20,23,24,25. x = b cos A y = b sin A. In Δ BCD, we can calculate.

octavia-marius
Download Presentation

Aim: What is the law of cosine?

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. Aim: What is the law of cosine? Do Now: In AB = c, BC = a, and AC = b. y 1. In Δ ACD, find cos A C(x,y) 2. In ΔACD, find sin A a b y c x x B(c,0) D A HW: p.555 # 10,16,20,23,24,25

  2. x = b cos Ay = b sin A In Δ BCD, we can calculate

  3. Law of Cosine It can also be written as

  4. How and when do we use the law of cosine? • In a triangle, if the lengths of any two sides • and the included angle measurement are known, we can apply the law of cosine to find the length of the third side. 2. In a triangle, if the lengths of all three sides are known, we then can apply the law of cosine to find the measure degree of any angle. We can use the SASand SSSto memorize, where letters stand for the known values.

  5. Application: 1. In ∆ABC, if a = 4, c = 6 and cos B = 1/16. Find b. b = 7 (use positive value) 2. In ∆ABC,a = 5, b = 7 and c = 10. Find mB mB = 40.5°

  6. 3. In ∆RST r = 11, s = 12, and mT = 120°, Find t to the nearest integer R t 12 120° S 11 T t = 20

  7. 4. Two airplanes leave an airport at the same time. The first flies 150 km/h in a direction of 320. The second flies 200 km/h in a direction of 200. After 2 hours, how far apart are the planes? O 400 km 120° 300 km B A A 608 km

  8. The beam of a searchlight situated at an offshore point W sweeps back and forth between shore points A and B. Points W is located 12 km from A and 25 km from B. The distance between A and B is 29 km. Find the measure of AWB to the nearest tenth degree. 96.9

More Related