Honors Precalculus April 11-12, 2018 Mr. Agnew

Slides:

Advertisements

Similar presentations

The Law of Cosines February 25, 2010.

Advertisements

Chapter 6 Trigonometry- Part 3. Aim #6.1:How do we apply the Law of Sines? An oblique triangle is one that does not contain a right angle.

 Think back to geometry. Write down the ways to prove that two triangles are congruent.

Chapter 6 – Trigonometric Functions: Right Triangle Approach

Starter a 6 c A 49° 96° 1.Use the Law of Sines to calculate side c of the triangle. 2.Now find the Area of a Triangle.

TODAY IN ALGEBRA 2.0…  Learning Target : You will solve triangles that have NO RIGHT ANGLE using LAW OF COSINES.  Independent Practice.

Law of Sines. Triangles Review Can the following side lengths be the side lengths of a triangle?

Triangle Warm-up Can the following side lengths be the side lengths of a triangle?

6.1 Laws of Sines. The Laws of Sine can be used with Oblique triangle Oblique triangle is a triangle that contains no right angle.

If none of the angles of a triangle is a right angle, the triangle is called oblique. All angles are acute Two acute angles, one obtuse angle.

Notes Over 8.1 Solving Oblique Triangles To solve an oblique triangle, you need to be given one side, and at least two other parts (sides or angles).

Math /7.2 – The Law of Sines 1. Q: We know how to solve right triangles using trig, but how can we use trig to solve any triangle? A: The Law of.

1 What you will learn  How to solve triangles by using the Law of Cosines  How to find the area of triangles if the measures of the three sides are given.

Section 4.2 – The Law of Sines. If none of the angles of a triangle is a right angle, the triangle is called oblique. An oblique triangle has either three.

Sullivan Algebra and Trigonometry: Section 9.2 Objectives of this Section Solve SAA or ASA Triangles Solve SSA Triangles Solve Applied Problems.

Section 8.1: Right Triangle Trigonometry: Applications and Section 8.2: Law of Sines Copyright © 2013 Pearson Education, Inc. All rights reserved.

8-5 The Law of Sines Objective: To apply the Law of Sines Essential Understanding : If you know the measures of two angles and the length of a side(AAS.

6.4 Law Of Sines. The law of sines is used to solve oblique triangles; triangles with no right angles. We will use capital letters to denote angles of.

CHAPTER 5 LESSON 4 The Law of Sines VOCABULARY  None.

Law of Cosines. SAS Area Formula: A b c Heron’s SSS Area Formula: b c a.

Sine Law Homework Questions??? Pg. 25 # 3, 5, 7, 9.

Section T.5 – Solving Triangles

Oblique Triangles.

If none of the angles of a triangle is a right angle, the triangle is called oblique. All angles are acute Two acute angles, one obtuse angle.

Objective: Use the law of sine. (SSA)

Unit 6: Trigonometry Lesson: Law of coSines.

Unit 6: Trigonometry Lesson: Law of Sines.

6-3: Law of Cosines

The Law of Sines.

Lesson 6.2 Law of Cosines Essential Question: How do you use trigonometry to solve and find the areas of oblique triangles?

Law of Cosine Chapter 8.3.

Find the missing parts of each triangle.

Essential question: How do I solve oblique triangles?

Law of Sines What You will learn:

Honors Precalculus April 16, 2018 Mr. Agnew

Differentiation Rules (Part 2)

8.2-Law of the Cosines Law of the Cosines & Requirements

Law of Cosines Notes Over

Solving OBLIQUE triangles (ssa)

Trigonometric Formulas

Trigonometric Identities

Honors Precalculus October 24, 2017 Mr. Agnew

Trigonometric Identities

Solving Quadratic Equations

Graphing Piecewise Functions

Law of Sines and Cosines

Law of Sines Notes Over If ABC is a triangle with sides a, b, c, then according to the law of sines, or.

Law of Sines AAS ONE SOLUTION SSA AMBIGUOUS CASE ASA ONE SOLUTION

Honors Precalculus October 25, 2016 Mrs. Agnew

Honors Algebra II with Trigonometry Mr. Agnew

Section 8.3 The Law of Cosines

Section 6.2 The Law of Cosines

Honors Precalculus October 31, 2016 Mrs. Agnew

Angle Sum and Difference Formulas

Angle Sum and Difference Formulas

Law of Sines and Law of Cosines

NOTES Law of Cosines.

Law of Sines. Law of Sines Non Right Triangles How is a triangle classified if none of the angles are 90? Oblique Labeling Oblique Triangles To solve.

8-6 Using the Law of Sines Objectives:

Graphing Sine and Cosine Functions

LT: I can use the Law of Sines and the Law of Cosines to find missing measurements on a triangle. Warm-Up Find the missing information.

Chapter 9 Law of Cosines and Law of Sines

8-5 Using the Law of Sines Objectives:

7.1, 7.2, 7.3 Law of Sines and Law of Cosines

Honors Algebra II with Trigonometry Mr. Agnew

7.2 The Law of Sines.

The Law of Sines.

Grade 12 Essential Math Geometry and Trigonometry Unit

Law of Cosines Ref page 417.

Presentation transcript:

Honors Precalculus April 11-12, 2018 Mr. Agnew Law of Sines Honors Precalculus April 11-12, 2018 Mr. Agnew

Essential Stuff Essential Question Essential Vocabulary How do you find the missing sides and angles of a triangle? Essential Vocabulary Law of Sines Law of Cosines Right Triangle Trigonometry

Sketchy Triangles If we are given information about a triangle, we can sketch that triangle… ASA or SAA SSA??? SAS SSS Law of Sines vs. Law of Cosines

Law of Sines Use with ASA & SAA… what about SSA? Law of Sines… Examples

Applications of Law of Sines The Law of Sines can be used to solve numerous application problems. Guided Practice: page 527 #38, 42, 46, 50, 54

Homework: 4/12/18 Page 527 – 529 #19, 23, 25, 29, 41, 43, 49, 53, 57