Ch 5.4: Sum and Difference Formulas

Slides:

Advertisements

Similar presentations

Ch 5.5: Multiple-Angle and Product-to-Sum Formulas

Advertisements

Ch 5.2: Verifying Trig Identities. What are you doing? Trying to prove the left side equals the right side How do I do that? 1.Pick ONE SIDE to simplify.

Chapter 7 Trigonometric Identities and Equations.

Double- and half-angle formulae

Find the exact values of trig functions no calculators allowed!!!

In these sections, we will study the following topics:

Double-Angle and Half-Angle Identities Section 5.3.

Trig Identities.

Law of Cosines. We use the law of cosines and the law of sines because we need to be able to find missing sides and angles of triangles when they are.

Right Triangle Trig Review Given the right triangle from the origin to the point (x, y) with the angle, we can find the following trig functions:

Sum and Difference Identities for Cosine. Is this an identity? Remember an identity means the equation is true for every value of the variable for which.

1 + tan2u = sec2u 1 + cot2u = csc2u

Unit Standard 5268G Practice Assessment. Element 1 Reciprocal and Inverse relationships Pythagorean identities Compound Angle formulae Sum and Product.

Trigonometric Ratios in the Unit Circle 6 December 2010.

Using Trig Formulas In these sections, we will study the following topics: o Using the sum and difference formulas to evaluate trigonometric.

Using Trig Formulas In these sections, we will study the following topics: Using the sum and difference formulas to evaluate trigonometric.

_______º _______ rad _______º ________ rad _______º _______ rad _______º _______ rad _______º _______ rad ______º _______ rad Unit Circle use.

7.2 Finding a Missing Side of a Triangle using Trigonometry

5.2 Sum and Difference Formulas Objective To develop and use formulas for the trigonometric functions of a sum or difference of two angle measures Ain’t.

MA L 7.2 Verifying Trigonometric Identities Make the left side equal the right.

These are two of the three Angle Sum Identities These are two of the three Angle Difference Identities.

Trig – Ch. 7-1 Proving Trig Identities Objectives: To understand how to verify an identity.

4-6: Reciprocal Trig Functions and Trigonometric Identities Unit 4: Circles English Casbarro.

Ch 5.4: Sum and Difference Formulas. Here is the trigonometry sum and difference formulas introduced in an interesting way:

Sum and Difference Formulas Sum Formulas Sum and Difference Formulas Difference Formulas.

Section 7.3 Double-Angle, Half-Angle and Product-Sum Formulas Objectives: To understand and apply the double- angle formula. To understand and apply the.

7.6 Exploration: Trig Identities Honors Analysis Learning Target: I can develop trigonometric identities.

10.1 – Sine & Cosine Formulas Sum & Difference Formulas.

Ch 5.4: Sum and Difference Formulas. Learn these!!

Sum & Difference Formulas Objective: Be able to use sum & difference formulas to find trig functions of non-unit circle values, simplify, verify, solve,

5.7 Inverse Trig Functions. Does the sine function have an inverse?

– Use Trig with Right Triangles Unit IV Day 2.

Right Triangle Trig Review Given the right triangle from the origin to the point (x, y) with the angle, we can find the following trig functions:

Find each value in simplified radical form. a) b)

Trigonometric identities Trigonometric formulae

6.2 Sum and Difference Formulas

Basic Trigonometric Identities

DOUBLE-ANGLE AND HALF-ANGLE FORMULAS

5.3 Sum and Difference Identities

Lesson 8-2: Special Right Triangles

Double-Angle, Half-Angle, and Product-Sum Formulas

Pre-AP Pre-Calculus Chapter 5, Section 3

Ch 5.5: Multiple-Angle and Product-to-Sum Formulas

Solving for Exact Trigonometric Values Using the Unit Circle

14. DOUBLE-ANGLE and HALF ANGLE IDENTITIES

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)

9.2: Sum and Differences of Trig Functions

Review Find the EXACT value of: 1. sin 30° 2. cos 225° 3. tan 135° 4. cos 300° How can we find the values of expressions like sin 15° ?? We need some new.

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.

Sum and Difference Formulas

Sum and Difference Formulas

Warm-up: (put at top of today’s assignment p.336)

Section 2.4 Cosine Law © Copyright all rights reserved to Homework depot:

Sum & Difference Formulas

21. Sum and Difference Identities

Sum and Differences Section 5.3 Precalculus PreAP/Dual, Revised ©2017

5.5-Multiple Angle Formulas

Triangle sum property.

Trigonometry. Trigonometry More Trig Triangles.

15. Sum and Difference Identities

Sum and Differences Of Periodic Functions

20. DOUBLE-ANGLE and HALF ANGLE IDENTITIES

15. Sum and Difference Identities

14. DOUBLE-ANGLE IDENTITIES

Trig Identities Lesson 3

9.8 Using the Sum and Difference Formulas

Solving for Exact Trigonometric Values Using the Unit Circle

Presentation transcript:

Ch 5.4: Sum and Difference Formulas

Learn these!!

How do we use this? Finding exact values of trig expressions Split the given number into the sum/difference of unit circle values we know Change the problem using the correct formula Simplify by replacing in trig values

Examples: Find the exact values 1. Split 75o into 30o and 45o since 2. Use the cosine formula 3. Replace with Trig values

Examples: Find the exact values 1. Look at your formulas. Which one does it match? 2. What is u and v? 3. Plug in to the left-hand side and simplify, if possible 4.

Find cos(u-v) if and 1. Look at your cosine formula. You need to know sinv and cosu 2. Draw the triangles for each given function 3. Find the missing sides 4. Find sinv and cosu 5. Put it all in your formula!

Prove: 1. Just like Ch 5.2, turn the left side into the right side using the difference formula 2. 3. Plug in and simplify!