Sum and Difference Formulas...using the sum and difference formula to solve trigonometric equation.

Slides:



Advertisements
Similar presentations
Trigonometric Identities
Advertisements

Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 5 Trigonometric Identities.
Write the following trigonometric expression in terms of sine and cosine, and then simplify: sin x cot x Select the correct answer:
EXAMPLE 3 Simplify an expression Simplify the expression cos (x + π). Sum formula for cosine cos (x + π) = cos x cos π – sin x sin π Evaluate. = (cos x)(–1)
Simplify an expression
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
In these sections, we will study the following topics:
Trigonometric equations
5.3 Solving Trigonometric Equations. What are two values of x between 0 and When Cos x = ½ x = arccos ½.
Verify a trigonometric identity
5-5 Solving Right Triangles. Find Sin Ѳ = 0 Find Cos Ѳ =.7.
5.5 Multiple-Angle and Product-Sum Formulas. Find all solutions in.
Trigonometric Equations Edited by Mr. Francis Hung Last Updated: 2013–03–12 1http:///
Verify a trigonometric identity
Chapter 4 Analytic Trigonometry Section 4.3 Double-Angle, Half-Angle and Product- Sum Formulas.
Trig – 4/21/2017 Simplify. 312 Homework: p382 VC, 1-8, odds
Section 5.5 Double Angle Formulas
Chapter 4 Identities 4.1 Fundamental Identities and Their Use
CHAPTER 7: Trigonometric Identities, Inverse Functions, and Equations
5.4 Sum and Difference Formulas In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and.
Sum and Difference Formulas New Identities. Cosine Formulas.
Trigonometric Equations Edited by Mr. Francis Hung Last Updated:
Vocabulary reduction identity. Key Concept 1 Example 1 Evaluate a Trigonometric Expression A. Find the exact value of cos 75°. 30° + 45° = 75° Cosine.
Double-Angle and Half-Angle Formulas
7.3 Sum and Difference Identities
4.7 Inverse Trig Functions. By the end of today, we will learn about….. Inverse Sine Function Inverse Cosine and Tangent Functions Composing Trigonometric.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 5- 1 Homework, Page 468 Use a sum or difference identity to find an.
Evaluating Inverse Trigonometric Functions
Properties of the Trigonometric Functions
Further Trigonometric identities and their applications.
Chapter 5 Analytic Trigonometry Sum & Difference Formulas Objectives:  Use sum and difference formulas to evaluate trigonometric functions, verify.
Specialist Maths Trigonometry Review Week 3. Addition Formulae.
Solving a Trigonometric Equation Find the general solution of the equation.
MATHPOWER TM 12, WESTERN EDITION Chapter 5 Trigonometric Equations.
Warm up If sin θ= and find the exact value of each function. 1.cos 2θ 2.sin 2θ 3.Use the half-angle identity to find the exact value of the function: cos.
1 © 2011 Pearson Education, Inc. All rights reserved 1 © 2010 Pearson Education, Inc. All rights reserved © 2011 Pearson Education, Inc. All rights reserved.
Copyright © Cengage Learning. All rights reserved. 5.4 Sum and Difference Formulas.
Sum and Difference Formulas Sum Formulas Sum and Difference Formulas Difference Formulas.
EXAMPLE 1 Evaluate trigonometric expressions Find the exact value of (a) cos 165° and (b) tan. π 12 a. cos 165° 1 2 = cos (330°) = – 1 + cos 330° 2 = –
Section 7.2 Addition and Subtraction Formulas Objectives: To understand how to apply the addition and subtraction formulas.
Sin x = Solve for 0° ≤ x ≤ 720°
H.Melikyan/12001 Sum and Difference Formulas Dr.Hayk Melikyan Departmen of Mathematics and CS
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.
MULTIPLE ANGLE & PRODUCT –TO-SUM IDENTITIES Section 5-5.
Sum and Difference Formulas. WARM-UP The expressions sin (A + B) and cos (A + B) occur frequently enough in math that it is necessary to find expressions.
PreCalculus 89-R 8 – Solving Trig Equations 9 – Trig Identities and Proof Review Problems.
PreCalculus 5-3 Solving Trigonometric Equation. Trigonometric Equations To solve trigonometric equations, we must solve for all values of the variable.
Trigonometric Identities III Half Angles or t-formulae.
5.5 Multiple-Angle Formulas
Homework Lesson Handout
Use an addition or subtraction formula to find the exact value of the expression: {image} Select the correct answer: {image}
Double- And Half-Angle Formulas
Warm-up: HW: pg. 490(1 – 4, 7 – 16, , 45 – 48)
5-3 Tangent of Sums & Differences
Copyright © Cengage Learning. All rights reserved.
DO NOW 14.6: Sum and Difference Formulas (PC 5.4)
Product-to-Sum and Sum-to-Product Formulas
Analytic Trigonometry
Sum and Difference Formulas
Analytic Trigonometry
Chapter 3 Section 5.
Sum and Difference Formulas
5.4 Sum and Difference Formulas
5.5-Multiple Angle Formulas
Other Trigonometric Identities
Sum and Difference Formulas
Sum and Difference Formulas
7.3 Sum and Difference Identities
2 Analytic Trigonometry
Trigonometric Equations
Presentation transcript:

Sum and Difference Formulas...using the sum and difference formula to solve trigonometric equation

Sum and Difference Formulas

NOW it’s your turn find the exact values of sin 75˚

NOW it’s your turn find the exact values of sin 7 ∏ 12

Find the exact value of sin 42° cos 12° - cos 42° sin 12° 1/2

exercise: find the exact value of each expression. (a) cos (120° + 45°) (b) sin (135° - 30°) (c) cos 120° + cos 45° (d) sin 135° - cos 30°

Find the exact value of cos 255º √ 6 4 √ 2- ( 300º - 45º ) cos 300° cos 45° + sin 300° sin 45°

Find the exact value of sin (30º + 45º)

Find the exact value of sin 32° cos 13° + cos 32° sin 13° √ 2 2

Find the exact value of sin 165º √ √ 2

Find the exact value of cos 195º √ √ 2 -

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2025 SlidePlayer.com. Inc. All rights reserved.