1 / 13

Solve each equation if

Solve each equation if . Tan x= Cos x = Evaluate each expression. Assume all angles are in Quadrant I 3. Cos( arccos 4. Cos( arcsin. Section 5-6 and 7. The Law of Sine. Vocabulary Law of Sines Area of a Triangle Ambiguous Case.

elma
Download Presentation

Solve each equation if

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. Solve each equation if Tan x= Cos x = Evaluate each expression. Assume all angles are in Quadrant I 3. Cos(arccos 4. Cos(arcsin

  2. Section 5-6 and 7 The Law of Sine • Vocabulary • Law of Sines • Area of a Triangle • Ambiguous Case Imagine you are a fan in the stands at a baseball game, sitting behind home plate. Describe your perception of where each base is located. Is it possible for you to catch a foul ball? Why or why not?

  3. Law of Sine Used to solve triangles when you don’t have a right triangle. THIS ONLY WORKS IF YOU HAVE TWO ANGLES & A PAIR-(ex: A & a or B & b or C & c) ASA and AAS Solve Triangle ABC if A = 33o, B = 105o and b=37.9. Solve Triangle ABC if A = 65o, B = 50o, and c=12.

  4. Area of a Triangle If you have the measure if two sides: Example: Find the area of Triangle ABC if a=4.7, c=12.4, and B=47o20’ Find the area of Triangle DEF if d=13.9, D=34.4o and E =14.8o.

  5. Warm up Solve each triangle. Round to the nearest tenth. 1. 2. Find the area 3. 4.

  6. The Ambiguous Case (SSA)

  7. Examples • Find all solutions for each triangle. If no solutions exist, write none. • Question 1: What is my Angle Size? • Question 2: What case is this? • Question 3: Is my side opposite my angle than my other side?? • Question 4: How many triangles are there? • Then solve for triangle(s)!

  8. Examples • Find all solutions for each triangle. If no solutions exist, write none. • Question 1: What is my Angle Size? • Question 2: What case is this? • Question 3: Is my side opposite my angle than my other side?? • Question 4: How many triangles are there? • Then solve for triangle(s)!

  9. Practice None 2 Determine the number of solutions for each triangle. 1. 2. Find all solutions for each triangle. 3. 4.

  10. Homework P 316 #12-226E, 29-39 Odd, 42 P325 #13-21 Odd, 34-39A, 46

  11. Section 5-8The Law of Cosine Vocabulary: Law of Cosines Hero’s Formula aka Heron’s Formula Suppose that a roof is built so that the angle at the peak and the lengths of the sides, which differ, are known. How would the width of the house be determined? Would the Law of Sines work?

  12. If you know the measures of three sides of any triangle, you can also use Heron’s Formula to find the area of the triangle. Example 2: Find the area of When we know the measures of two sides of a triangle and the included angle, we can use the Law of Cosines to find the measure of the third side. Often times we will use both the Law of Cosine and the Law of Sine to solve a triangle.

  13. Homework P331 #12-26E, 28, 30, 38

More Related