Find sin 2x, cos 2x, and tan 2x from the given information: {image} Select the correct answer: 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19.

Slides:

Advertisements

Similar presentations

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

Advertisements

Trigonometric Identities

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:

14-5 Sum and Difference of Angles Formulas. The Formulas.

Find the period of the function y = 4 sin x

Multiple Angle Formulas ES: Demonstrating understanding of concepts Warm-Up: Use a sum formula to rewrite sin(2x) in terms of just sin(x) & cos(x). Do.

Sum and Difference Formulas New Identities. Cosine Formulas.

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

(1) Sin, Cos or Tan? x 7 35 o S H O C H A T A O Answer: Tan You know the adjacent and want the opposite.

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.

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 = –

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.

(a) To use the formulae sin (A B), cos (A B) and tan (A B). (b) To derive and use the double angle formulae (c) To derive and use the half angle formulae.

Double-Angle and Half-Angle Identities

Trigonometric Identities III Half Angles or t-formulae.

DOUBLE-ANGLE AND HALF-ANGLE FORMULAS

Section 5.5B Half Angle Formulas

Review Problems Algebra 1 11-R.

5.4 Sum and Difference Formulas

Special Angle Values.

5.5/5.6 – Double- and Half-Angle Identities

5.5 Multiple-Angle Formulas

Sum and Difference Formulas

Sum and Difference Identities

Sum and Difference Identities for the Sin Function

Evaluate the expression by sketching a triangle

Multiple-Angle and Product-Sum Formulas

Use an addition or subtraction formula to find the exact value of the expression: {image} Select the correct answer: {image}

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

Find all solutions of the equation

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

 x 3 We know this integral: But what about this integral:

9.3 Double-Angle and Half-Angle Formulas

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

Double- And Half-Angle Formulas

5-3 Tangent of Sums & Differences

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(

Product-to-Sum and Sum-to-Product Formulas

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.

Aim: What are the double angle and half angle trig identities?

Examples Double Angle Formulas

Find the reference angle for the angle measuring {image}

Half-Angle Identities

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

Trigonometric Identities

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.

Product-to-Sum and Sum-to-Product Formulas

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

Double-Angle and Half-Angle Formulas 5.3

Identities: Cofunction, Double-Angle and Half-Angle

Have homework out to be checked!!

5.5-Multiple Angle Formulas

Double-Angle, Half-Angle Formulas

Sum and Difference Formulas

5.5 Multiple Angle & Product-to-Sum Formulas

Solving Trigonometric Equations

Double-Angle and Half-angle Formulas

SUM & DIFFERENCE FORMULAS

x x HW 13: Inverse Trig Functions HW 13: Inverse Trig Functions

Double Angle Identities

14. DOUBLE-ANGLE IDENTITIES

Geometry/Trig Name __________________________

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

Presentation transcript:

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

Simplify the expression by using a double-angle formula or a half-angle formula: {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

Find {image} from the given information: {image} Select the correct answer: 2. 1. 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

Write the following sum as a product: {image} Select the correct answer: 1. {image} 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

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