Verifying Trigonometric Identities

Slides:



Advertisements
Similar presentations
Trigonometric Identities Section 4.3. Objectives Use algebra to simplify trigonometric expressions Establish identities.
Advertisements

Unit 3: Trig Identities Jeopardy
Chapter Using Fundamental Identities In this chapter, you will learn how to use the fundamental identities to do the following: Evaluate trigonometric.
1 times table 2 times table 3 times table 4 times table 5 times table
Verifying Trigonometric Identities T,3.2: Students prove other trigonometric identities and simplify others by using the identity cos 2 (x) + sin 2 (x)
What you will learn How to use the basic trigonometric identities to verify other (more complex) identities How to find numerical values of trigonometric.
AP Calculus Chapter 1, Section 3
5.1 Using Fundamental Identities. Fundamental Trigonometric Identities.
5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and.
Chapter 5 Analytic Trigonometry Sum & Difference Formulas Objectives:  Use sum and difference formulas to evaluate trigonometric functions, verify.
Pg. 395 Homework Pg. 395#1 – 10 all Pg. 401#19 – 23 odd Pg. 407#9 Memorization quiz Thursday!! # °#157.13°# #191.17#21π/2#23π/4 #25-π/3#270.36#
Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #19 Ѳ = kπ#21t = kπ, kπ #23 x = π/2 + 2kπ#25x = π/6 + 2kπ, 5π/6 + 2kπ #27 x = ±1.05.
$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.
Trigonometric Identities
Warm up Perform the indicated operation and simplify the result in terms of the sine and cosine.
Tables Learning Support
Fundamental Trigonometric Identities Reciprocal Identities Tangent and Cotangent Identities Pythagorean Identities.
Precalculus Chapter 5.1 Using Fundamental Identities Objectives: Recognize and write trig identities Use trig identities to evaluate, simplify, and rewrite.
Sum and Difference Formulas Sum Formulas Sum and Difference Formulas Difference Formulas.
Pg. 384/408 Homework See later slide. #2V stretch 3, H stretch 2, V shift up 2, H shift left π #4V Stretch 2, H shrink ½, V shift up 1,H shift right π/2.
10.1 – Sine & Cosine Formulas Sum & Difference Formulas.
Pg. 407/423 Homework Pg. 407#33 Pg. 423 #16 – 18 all #9 tan x#31#32 #1x = 0.30, 2.84#2x = 0.72, 5.56 #3x = 0.98#4No Solution! #5x = π/6, 5π/6#6Ɵ = π/8.
Chapter 5 Analytic Trigonometry Verifying Trig Identities Objective:  Verify trigonometric identities. 2.
Math III Accelerated Chapter 14 Trigonometric Graphs, Identities, and Equations 1.
Precalculus Honors March 2 nd Students will complete their daily warm-up problems. Go over any questions students have on previous night’s homework (page.
Using Trigonometric IDENTITIES to Simplify Expressions.
Trigonometric Identities and Equations
Using Fundamental Identities
Inverse Trigonometric: Integration
Analytic Trigonometry
Section 5.1A Using Fundamental Identities
Analytic Trigonometry
Graphing Trigonometric Functions
12.2 Finding Limits Algebraically
Warm-Up 5/14/08.
Multiple-Angle and Product-Sum Formulas
Homework Lesson Handout
Chapter 3 Section 3.
Trigonometric Formulas
Trigonometric Identities
Complete each trigonometric identity. Factor each expression.
Double- And Half-Angle Formulas
Using Fundamental Identities (Section 5-1)
Fundamental Identities
5.2 Verifying Trigonometric Identities
6.5 Basic Trigonometric Identities
Solving Trigonometric Equations (Section 5-3)
Trigonometric Identities
Warm-Up 5/7/08.
Verifying Trigonometric Identities
Lines in the Plane PreCalculus 1-1.
Basic Trigonometric Identities
5.4 Sum and Difference Formulas
Today in Precalculus Notes: Limits (no calculators) Go over quiz
44 – Simplifying Trigonometric Expressions No Calculator
Using Fundamental Identities
Sum and Difference Formulas
Sum and Difference Formulas
Warm Up Graph f(x) = 3x – 2 using a table
Take out a sheet of paper for the short quiz.
Trigonometric Identities
Using Fundamental Identities
6 times tables.
Warm-up: (1 − sin 2 x) sec 2 x = cos 2 x sec 2 x = 1
5.2(c) Notes: A Bit of Calculus in Verifying Trig Identities
Objective: Finding solutions of trigonometric equations.
Polynomial Functions of Higher Degree
Line Graphs.
Chapter 1 Functions.
Warm – Up: Simplify 4..
Presentation transcript:

Verifying Trigonometric Identities PreCalculus 5-2

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities Verify the identity Trigonometric Identities

Trigonometric Identities

Trigonometric Identities

Trigonometric Identities Verify the identity Trigonometric Identities

Trigonometric Identities - Practice Verify the identity Trigonometric Identities - Practice

Trigonometric Identities

Trigonometric Identities Verify the identity Trigonometric Identities

Trigonometric Identities - Practice Verify the identity Trigonometric Identities - Practice

Trigonometric Identities

Trigonometric Identities Simplify the identity Trigonometric Identities

Trigonometric Identities Homework pg 353 – 355 5, 9, 23, 25, 29, 43, 49, 53, 55, 57, 65 No need to verify with graphs or table feature Trigonometric Identities