Basic Trigonometric Identities

Slides:

Advertisements

Similar presentations

Simplifying More Trig Expressions

Advertisements

{ Take notes on the properties at this time!! !.

Section 5.1 Verifying Trigonometric Identities. Overview In Chapter 4, we developed several classes of trigonometric identities: 1.Quotient 2.Reciprocal.

1 8.3 Trigonometric Identities In this section, we will study the following topics: o Using trig identities and algebra to simplify trigonometric expressions.

TODAY IN ALGEBRA 2.0…  Review: Pythagorean Theorem  Learning Target: Find all six trigonometric functions.  Independent Practice.

Trig Identities.

Objective: Develop basic trigonometric identities.

What you will learn How to use the basic trigonometric identities to verify other (more complex) identities How to find numerical values of trigonometric.

5.1 Using Fundamental Identities. Fundamental Trigonometric Identities.

5.1 Fundamental Identities

5.1 Using Fundamental Identities

Academy Algebra II Pre-Calculus (5.1, 5.2)

Academy Algebra II/Trig Pre-Calculus (5.1, 5.2) 8.3: Trigonometric Identities HW: today: none, Tomorrow: p (20, 24, 32, 38, 50, 54, 78, 86) Quiz.

Standard 10a: Prove Trigonometric Identities and use them to simplify Trigonometric equations.

Sullivan PreCalculus Section 6.3 Trigonometric Identities

Vocabulary identity trigonometric identity cofunction odd-even identities BELLRINGER: Define each word in your notebook.

Evaluate: 1) Classwork: Book: pg. 100; 2 Homework: Book: pg. 100; 10.

Fundamental Trigonometric Identities Reciprocal Identities Tangent and Cotangent Identities Pythagorean Identities.

Warm-Up 2/12 Evaluate – this is unit circle stuff, draw your triangle.

9.3 Trigonometric Identities. Two functions f and g are said to be identically equal if for every value of x for which both functions are defined. Such.

Section Reciprocal Trig Functions And Pythagorean Identities.

To simplify a rational expression, divide the numerator and the denominator by a common factor. You are done when you can no longer divide them by a common.

Precalculus Chapter 5.1 Using Fundamental Identities Objectives: Recognize and write trig identities Use trig identities to evaluate, simplify, and rewrite.

Chapter 1: Real Numbers and Equations Section 1.3: Variables and Expressions.

Trigonometry Section 8.4 Simplify trigonometric expressions Reciprocal Relationships sin Θ = cos Θ = tan Θ = csc Θ = sec Θ = cot Θ = Ratio Relationships.

Bell Ringer Right Triangles in the Unit Circle Tuesday, May 10, 2016.

Math III Accelerated Chapter 14 Trigonometric Graphs, Identities, and Equations 1.

Section Working With Trig Identities. Lesson Objective: Students will: Derive the other two Pythagorean identities. Verify trig identities.

HW Warm Up: Simplify. HW Lesson 8.3: Division Properties of Exponents Algebra I.

Using Fundamental Identities Objectives: 1.Recognize and write the fundamental trigonometric identities 2.Use the fundamental trigonometric identities.

Using Trigonometric IDENTITIES to Simplify Expressions.

Algebra II Honors 9.7: Using Trigonometric Identities (PC 5.1, 5.2) HW: p.517 (12-20 even, even)

5.1, 5.2: Using and Verifying Trig Identities

Basic Trigonometric Identities

6.1A Reciprocal, Quotient, and Pythagorean Identities

Inverse Trigonometric: Integration

Section 5.1A Using Fundamental Identities

Using Fundamental Identities

Basic Trigonometric Identities

Section 6.1 Verifying Trigonometric Identities

Section 5.1 Verifying Trigonometric Identities

Verifying Trigonometric Identities

Today, you will be able to:

14.3 Trigonometric Identities

Warm-up September 21, 2017 (-5) – 6 = 5 – (-6) = (-5) + 6 =

Section 5.1: Fundamental Identities

Lesson 5.1 Using Fundamental Identities

Ch 7 – Trigonometric Identities and Equations

6.3 Trigonometric Identities

Trigonometric Identities

Complete each trigonometric identity. Factor each expression.

One way to use identities is to simplify expressions involving trigonometric functions. Often a good strategy for doing this is to write all trig functions.

Using Fundamental Identities (Section 5-1)

6.5 Basic Trigonometric Identities

Trigonometric Identities

Verifying Trigonometric Identities

Bellwork~Simplify 1.) 90 2.) 32 3.) 45 4.) 162.

Section 3.6 Basic Trigonometric Identities

Verifying Fundamental Identities

Using Fundamental Identities

Important Idea r > 0 opp hyp adj hyp opp adj.

6.3 Trigonometric Identities

The Fundamental Trigonometric Identities

Basic Trigonometric Identities and Equations

Take out a sheet of paper for the short quiz.

Today, you will be able to:

Trigonometric Identities

Trigonometric Identities

Presentation transcript:

Basic Trigonometric Identities 7-1 Basic Trigonometric Identities

Objectives Identify and use Reciprocal Identities Quotient Identities Pythagorean Identities

Example 1

You Try!!!

You Check!!!

Reciprocal Identities

Pythagorean Identities Quotient Identities Pythagorean Identities

Example 2a

Example 2b

You Try!!!

You Check!!!

Simplifying Trigonometric Functions What does this mean? Expression is written using the fewest trig functions possible. Algebraically simplified as possible. May be written as a numerical value.

Example 3

You Try!!!

You Check!!!

Assignments Classwork – pg. 427 #6-11, 14-16 Homework – pg. 401 #18-24, 25-37, 44-53