Review Learning Goals:  I can find the point of intersection between two lines algebraically  I can expand expressions  I can use trigonometry to find.

Slides:



Advertisements
Similar presentations
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.
Advertisements

Mrs. Rivas International Studies Charter School. The Law of Cosines and its Derivation The Law of Cosines is used to solve triangles in which two sides.
Mathematical Applications For The Physics Classroom Algebra and Trigonometry.
Lesson 14-1 Algebra Check Skills You’ll Need 14-4
TODAY IN ALGEBRA 2.0…  Learning Target : You will solve triangles that have NO RIGHT ANGLE using LAW OF COSINES.  Independent Practice.
Geometry Notes Lesson 5.3B Trigonometry
Trigonometry. Basic Ratios Find the missing Law of Sines Law of Cosines Special right triangles
Law of Sines. Triangles Review Can the following side lengths be the side lengths of a triangle?
Triangle Angle Sum. Properties of triangles Triangles have three sides and three angles Triangles are named according to their vertices The sum of the.
Law of Cosines 9.4. What we know so far: Right Triangle: SOH CAH TOA Right Triangle: SOH CAH TOA Not a right triangle: SSA then we use Law of Sines But.
Class Work 1.Sketch a right triangle that has acute angle , and find the five other trig ratios of . 2.Evaluate the expression without using a calculator.
5.8 The Law of Cosines Law of Cosines – Law of Cosines allows us to solve a triangle when the Law of Sines cannot be used. Most problems can be solved.
Triangle Warm-up Can the following side lengths be the side lengths of a triangle?
Pg. 435 Homework Pg. 443#1 – 10 all, 13 – 18 all #3ɣ = 110°, a = 12.86, c = 18.79#4No triangle possible #5α = 90°, ɣ = 60°, c = #6b = 4.61, c = 4.84,
Homework Questions. LOGS Warm-up Convert from log form to exponential form Convert from exponential form to log form Expand Condense.
Section Day 2 The Ambiguous Case of the Law of Sines.
1 TF Review of Right Triangle Trigonometry, Sine Law and Cosine Law MCR3U – Santowski.
TRIGONOMETRY Lesson 2: Solving Right Triangles. Todays Objectives Students will be able to develop and apply the primary trigonometric ratios (sine, cosine,
1 Equations 7.3 The Law of Cosines 7.4 The Area of a Triangle Chapter 7.
13.5 Law of Cosines Objectives: 1.Solve problems by using the Law of Cosines 2.Determine whether a triangle can be solved by first using the Law of Sines.
Geometry Warm Up. 8-3 TRIGONOMETRY DAY 1 Objective: To use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right.
Law of Sines. Question ▪ How would you solve for the missing side of this triangle? ▪ How would you solve for the missing side given this triangle? 6.
Sullivan Algebra and Trigonometry: Section 9.2 Objectives of this Section Solve SAA or ASA Triangles Solve SSA Triangles Solve Applied Problems.
Homework Questions. LOGS Warm-up Evaluating Logs.
Pre calculus Problem of the Day Homework p. p odds, odds Find the area of a triangle with the given dimensions. r = 15 in s = 13 in t.
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.
PreCalculus 6-1 Law of Sines. This lesson (and the next) is all about solving triangles that are NOT right triangles, these are called oblique triangles.
CHAPTER 5 LESSON 4 The Law of Sines VOCABULARY  None.
We are now going to extend trigonometry beyond right angled triangles and use it to solve problems involving any triangle. 1.Sine Rule 2.Cosine Rule 3.Area.
1.Name the different types of triangles 2.What is the angle sum of a triangle rule? 3.What is Pythagorean Theorem and when can we use it? 4.What do you.
Sine Law Homework Questions??? Pg. 25 # 3, 5, 7, 9.
Lesson: Regular Polygons, Trigonometry, & Area
Advanced Geometry Trigonometry Lesson 5 The Law of Cosines.
Section T.5 – Solving Triangles
5.7 The Ambiguous Case for the Law of Sines
Objective: Use the law of sine. (SSA)
Advanced Algebra Trigonometry
Unit 6: Trigonometry Lesson: Law of coSines.
Warm-Up Solve the following triangle 14 61o *Homework Check*
Jump Start: March 30, 2010 ½ 21° x=5.5 x=30°
Unit 6: Trigonometry Lesson: Law of Sines.
Right Triangle Trigonometry
Warm Up (Just give the fraction.) 3. Find the measure of ∠T: ________
Lesson 0 – 4 & 0 – 5 Algebraic Expressions & Linear Equations
** For questions #1-13 (ODD):
Honors Precalculus April 16, 2018 Mr. Agnew
Honors Precalculus April 11-12, 2018 Mr. Agnew
Homework Questions.
Homework Questions.
Warm-up 1) What word will you use to help you remember how to find sine, cosine, and tangent for right triangles? 2) Do sides of 15, 25, and 20 correspond.
Section 4.3 Right Trigonometry
Homework Questions.
Warm-up 1) What word will you use to help you remember how to find sine, cosine, and tangent for right triangles? 2) Do sides of 15, 25, and 20 correspond.
Lesson: Introduction to Trigonometry - Sine, Cosine, & Tangent
Review of Essential Skills:
Law of Sines and Cosines
Law of Sines AAS ONE SOLUTION SSA AMBIGUOUS CASE ASA ONE SOLUTION
Law of Cosines C a b A B c.
Section 6.5 Law of Cosines Objectives:
Warm-up 1) What word will you use to help you remember how to find sine, cosine, and tangent for right triangles? 2) Do sides of 15, 25, and 20 correspond.
Warm-up: Solve the triangle. mA = 70, c = 26, a = 25
8-6 Using the Law of Sines Objectives:
Grade 12 Essential Math Geometry and Trigonometry Unit
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.
Warm Up – 2/27 - Thursday Find the area of each triangle.
Trigonometry Ratios in Right Triangles
8-5 Using the Law of Sines Objectives:
7.1, 7.2, 7.3 Law of Sines and Law of Cosines
Grade 12 Essential Math Geometry and Trigonometry Unit
Sum and Difference Formulas (Section 5-4)
Presentation transcript:

Review Learning Goals:  I can find the point of intersection between two lines algebraically  I can expand expressions  I can use trigonometry to find sides and angles on triangles

Review Point of Intersection When we find the point of intersection between two lines we are finding the solution to the linear system. At the point where the two lines intersect they have the same “x” and corresponding “y” value.

Review Point of Intersection What ways do you know to find the POI or the solution to a linear system?

Review Point of Intersection

Review Point of Intersection

Review Expanding

Review Expanding

Review Expanding

Review Transformations

Review Transformations

Review Trigonometry SOHCAH TOA

Review Trigonometry SOHCAH TOA Solve for the unknown:

Review Trigonometry SOHCAH TOA Solve for the unknown: 7.5 x

Review Trigonometry Sine Law:

Review Trigonometry Sine Law: B A C °

Review Trigonometry Cosine Law:

Review Trigonometry Cosine Law: Find the measurement for the third side. 22 m 46 m 37°

Review Trigonometry Homework  Pg. 2 #5, 6, 12, 14  Pg. 220 #3, 5, 10, 12 Review Test Tomorrow