Use an addition or subtraction formula to find the exact value of the expression: {image} Select the correct answer: {image} 1. 2. 3. 1 2 3 4 5 6 7 8 9.

Slides:

Advertisements

Similar presentations

Trigonometric Identities

Advertisements

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

Double-Angle and Half-Angle Identities

Find the period of the function y = 4 sin x

EXAMPLE 1 Find trigonometric values Given that sin  = and <  < π, find the values of the other five trigonometric functions of . 4 5 π 2.

5.5 Multiple-Angle and Product-Sum Formulas. Find all solutions in.

5.1 Using Fundamental Identities. Fundamental Trigonometric Identities.

Sum and Difference Formulas New Identities. Cosine Formulas.

Chapter 5 Analytic Trigonometry Sum & Difference Formulas Objectives:  Use sum and difference formulas to evaluate trigonometric functions, verify.

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

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

Simplify the following trigonometric expression as much as possible: cos B + sin B tan B Select the correct answer:

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.

PreCalculus 89-R 8 – Solving Trig Equations 9 – Trig Identities and Proof Review Problems.

Trigonometric Identities and Equations

Section 5.1A Using Fundamental Identities

Addition and Subtraction Formulas

Review Problems Algebra 1 11-R.

5.4 Sum and Difference Formulas

Graphs of Trigonometric Functions

Warm Up Find each product, if possible. 1. AB 2. BA.

Identities: Pythagorean and Sum and Difference

Express the following rule in function notation: “subtract 4, then divide by 5”. Select the correct answer: {image}

5.5/5.6 – Double- and Half-Angle Identities

Trigonometric Function: The Unit circle

7.2 Addition and Subtraction Formulas

Sum and Difference Formulas

Sum and Difference Identities for the Sin Function

Evaluate the expression by sketching a triangle

Copyright © 2014, 2010, 2007 Pearson Education, Inc.

Find all solutions of the equation

2.3 Evaluating Trigonometric Functions for any Angle

Given that, {image} {image} Evaluate the limit: {image} Choose the correct answer from the following: {image}

Fundamental Trigonometric Identities Essential Questions

Find sin 2x, cos 2x, and tan 2x from the given information: {image} Select the correct answer:

Find the inflection points of the following function: f ( x ) = -7 x sin x {image} {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.

Which of the following points is on the unit circle

Sketch a triangle that has acute angle {image} , and sin( {image} ) = Choose the right trigonometric ratios of {image} . cos( {image} ) = 0.24 tan(

Using Fundamental Identities

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.

Examples Double Angle Formulas

Warm-up: Find the exact values of the other 5 trigonometric functions given sin= 3 2 with 0 <  < 90 CW: Right Triangle Trig.

Copyright © Cengage Learning. All rights reserved.

Perform the indicated operations and simplify: {image} Select the correct answer

Intro to trig review.

Exact Trig Pairs.

Find the exact values of the trigonometric functions {image} and {image}

Simplify the expression: {image} Select the correct answer.

Work out (if you can, simplify your answer) 8 6.

Multiple-Angle and Product-to-Sum Formulas (Section 5-5)

Double-Angle and Half-Angle Formulas 5.3

Have homework out to be checked!!

44 – Simplifying Trigonometric Expressions No Calculator

Aim: Full House Grid: 9 Grid Play: Calculate answer & cross it off

Double-Angle, Half-Angle Formulas

Sum and Difference Formulas

Double-Angle and Half-angle Formulas

Sum and Difference Formulas

7.3 Sum and Difference Identities

Trigonometric Equations

Given that {image} {image} Evaluate the limit: {image} Choose the correct answer from the following:

Properties of the Trigonometric Functions

Presentation transcript:

Use an addition or subtraction formula to find the exact value of the expression: {image} Select the correct answer: {image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Use an addition or subtraction formula to write the expression as a trigonometric function of one number: {image} . Select the correct answer: {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Simplify the following expression: {image} Select the correct answer: -cos y cos y sin y -sin y 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Simplify the expression: tan u - tan y Select the correct answer: {image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50