5.1 Fundamental Identities Filled In.notebook · 5.1 Fundamental Identities Objectives: 1) I can...

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5.1 Fundamental Identities Filled In.notebook January 26, 2018 Jan 228:53 AM 5.1 Fundamental Identities Objectives: 1) I can use reciprocal, quotient, pythagorean, cofunction, and oddeven identities to simplify trigonometric expressions. 2) I can solve trigonometric equations using identities. Jan 229:04 AM Trig Identities Jan 229:11 AM More Jan 229:11 AM Use trig identities to simplify the expression.

Transcript of 5.1 Fundamental Identities Filled In.notebook · 5.1 Fundamental Identities Objectives: 1) I can...

Page 1: 5.1 Fundamental Identities Filled In.notebook · 5.1 Fundamental Identities Objectives: 1) I can use reciprocal, quotient, pythagorean, cofunction, and oddeven identities to simplify

5.1 Fundamental Identities Filled In.notebook January 26, 2018

Jan 22­8:53 AM

5.1 Fundamental Identities

Objectives: 

1) I can use reciprocal, quotient, pythagorean, cofunction, and odd­even identities to simplify trigonometric expressions.

2) I can solve trigonometric equations using identities. 

Jan 22­9:04 AM

Trig Identities

Jan 22­9:11 AM

More

Jan 22­9:11 AM

Use trig identities to simplify the expression.

Page 2: 5.1 Fundamental Identities Filled In.notebook · 5.1 Fundamental Identities Objectives: 1) I can use reciprocal, quotient, pythagorean, cofunction, and oddeven identities to simplify

5.1 Fundamental Identities Filled In.notebook January 26, 2018

Jan 22­9:18 AM

Use trig identities to simplify the expression.

Jan 22­9:29 AM

Use trig identities to simplify the expression.

Jan 22­9:22 AM

Use trig identities to simplify the expression.

Jan 22­9:32 AM

Use trig identities to simplify the expression.

Page 3: 5.1 Fundamental Identities Filled In.notebook · 5.1 Fundamental Identities Objectives: 1) I can use reciprocal, quotient, pythagorean, cofunction, and oddeven identities to simplify

5.1 Fundamental Identities Filled In.notebook January 26, 2018

Jan 22­9:38 AM

Use trig identities to simplify the expression.

Jan 22­9:41 AM

5.1 (Day 2) 

2) I can solve trigonometric equations using identities.

Jan 25­11:22 PM

Find all values of x in the interval            . 

Jan 26­12:05 AM

Find all values of x in the interval            . 

Page 4: 5.1 Fundamental Identities Filled In.notebook · 5.1 Fundamental Identities Objectives: 1) I can use reciprocal, quotient, pythagorean, cofunction, and oddeven identities to simplify

5.1 Fundamental Identities Filled In.notebook January 26, 2018

Jan 25­11:31 PM

Solving a Trigonometric Equation by Factoring.

Jan 25­11:37 PM

Jan 26­1:26 PM Jan 25­11:42 PM

Page 5: 5.1 Fundamental Identities Filled In.notebook · 5.1 Fundamental Identities Objectives: 1) I can use reciprocal, quotient, pythagorean, cofunction, and oddeven identities to simplify

5.1 Fundamental Identities Filled In.notebook January 26, 2018

Jan 25­11:46 PM Jan 26­1:35 PM


Aim: What are the reciprocal functions and cofunction?

Aim: What are the reciprocal functions and cofunction?

Objective: For students to learn how to prove identities. Standards: F-TF 8 HW: Worksheet 5.1 Proving Identities, Textbook section 5.1 problems Assessment:

Objective: For students to learn how to prove identities. Standards: F-TF 8 HW: Worksheet 5.1 Proving Identities, Textbook section 5.1 problems Assessment:

Quotient Identities Along with reciprocal identities ... · Quotient Identities Along with reciprocal identities, quotient identities are useful when solving right triangles. There

Quotient Identities Along with reciprocal identities ... · Quotient Identities Along with reciprocal identities, quotient identities are useful when solving right triangles. There

5.1 USING FUNDAMENTAL IDENTITIES - Academics …academics.utep.edu/Portals/1788/CALCULUS MATERIAL… ·  · 2012-05-0314 Example 2 – Simplifying a Trigonometric Expression Simplify

5.1 USING FUNDAMENTAL IDENTITIES - Academics …academics.utep.edu/Portals/1788/CALCULUS MATERIAL… ·  · 2012-05-0314 Example 2 – Simplifying a Trigonometric Expression Simplify

Identities Portrayed and Integrated. I. Crypto-Identities ...

Identities Portrayed and Integrated. I. Crypto-Identities ...

...Sum and Difference Identites/Cofunction Identities Warm Up 1.) Simplify sin 2 x cot 2 1 sonx I + tan 2 tan 2 3.) Verify esc2 0 sec csc - I Name Block 2.) Verify sec B cscgx - 9KB

...Sum and Difference Identites/Cofunction Identities Warm Up 1.) Simplify sin 2 x cot 2 1 sonx I + tan 2 tan 2 3.) Verify esc2 0 sec csc - I Name Block 2.) Verify sec B cscgx - 9KB

Review Homework. Skills Check Sin-Cosine Cofunction.

Review Homework. Skills Check Sin-Cosine Cofunction.

CHAPTER 5 Analytic Trigonometrykhsprecalc.weebly.com/.../3/3853479/chapter_5_solutions.pdfCHAPTER 5 Analytic Trigonometry Section 5.1 Using Fundamental Identities 1. tan u 2. csc u

CHAPTER 5 Analytic Trigonometrykhsprecalc.weebly.com/.../3/3853479/chapter_5_solutions.pdfCHAPTER 5 Analytic Trigonometry Section 5.1 Using Fundamental Identities 1. tan u 2. csc u

Section 5.1 Verifying Trigonometric Identities.

Section 5.1 Verifying Trigonometric Identities.

5.1 Using Fundamental Identities

5.1 Using Fundamental Identities

Chapter 4 Identities 4.1 Fundamental Identities and Their Use 4.2 Verifying Trigonometric Identities 4.3 Sum, Difference, and Cofunction Identities 4.4.

Chapter 4 Identities 4.1 Fundamental Identities and Their Use 4.2 Verifying Trigonometric Identities 4.3 Sum, Difference, and Cofunction Identities 4.4.

6.2 Cofunction and Double-Angle Identities Fri Dec 5 Do Now Simplify (sinx + cosx)(sinx – cosx)

6.2 Cofunction and Double-Angle Identities Fri Dec 5 Do Now Simplify (sinx + cosx)(sinx – cosx)

CHAPTER 5 Analytic Trigonometry · CHAPTER 5 Analytic Trigonometry Section 5.1 Using Fundamental Identities 379 You should know the fundamental trigonometric identities. (a) Reciprocal

CHAPTER 5 Analytic Trigonometry · CHAPTER 5 Analytic Trigonometry Section 5.1 Using Fundamental Identities 379 You should know the fundamental trigonometric identities. (a) Reciprocal

Regional Identities

Regional Identities

Ch5.1A – Using Fundamental Identities Reciprocal Identities Quotient Identities Pythagorean Identities sin 2 u + cos 2 u = 1 1 + tan 2 u = sec 2 u 1 +

Ch5.1A – Using Fundamental Identities Reciprocal Identities Quotient Identities Pythagorean Identities sin 2 u + cos 2 u = 1 1 + tan 2 u = sec 2 u 1 +

Identities powerpoint

Identities powerpoint

5.1 USING FUNDAMENTAL IDENTITIES9 Using the Fundamental Identities One common application of trigonometric identities is to use given values of trigonometric functions to evaluate10

5.1 USING FUNDAMENTAL IDENTITIES9 Using the Fundamental Identities One common application of trigonometric identities is to use given values of trigonometric functions to evaluate10

Further Trig Topics Cofunction Identities. Even and Odd Functions A function is even if f(x) = f(-x) A function is odd if –f(x) = f(-x) Therefore, the.

Further Trig Topics Cofunction Identities. Even and Odd Functions A function is even if f(x) = f(-x) A function is odd if –f(x) = f(-x) Therefore, the.

JMerrill, 2010 IIt will be imperative that you know the identities from Section 5.1. Concentrate on the reciprocal, quotient, and Pythagorean identities.

JMerrill, 2010 IIt will be imperative that you know the identities from Section 5.1. Concentrate on the reciprocal, quotient, and Pythagorean identities.

Section 5.1 Simplifying More Trig Expressions Fundamental Trigonometric Identities: Reciprocal Identities: Quotient Identities: Pythagorean Identities:

Section 5.1 Simplifying More Trig Expressions Fundamental Trigonometric Identities: Reciprocal Identities: Quotient Identities: Pythagorean Identities: