Skip to main content

Math Trigonometry Trigonometry (MindTap Course List)

Finding Special Angles of a Triangle In Exercises 53-58, find each value of θ in degrees ( 0 ° < θ < 90 ° ) and radians ( 0 < θ < π / 2 ) without using a calculator. ( a ) tan θ = 3 ( b ) csc θ = 2

Finding Special Angles of a Triangle In Exercises 53-58, find each value of θ in degrees ( 0 ° < θ < 90 ° ) and radians ( 0 < θ < π / 2 ) without using a calculator. ( a ) tan θ = 3 ( b ) csc θ = 2

Solution Summary: The author calculates the value of theta in degrees and in radians.

Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

10th Edition

ISBN: 9781337278461

Author: Ron Larson

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

Videos

Textbook Question

Chapter 1.3, Problem 56E

Finding Special Angles of a Triangle In Exercises 53-58, find each value of θ in degrees ( 0 ° < θ < 90 ° ) and radians ( 0 < θ < π / 2 ) without using a calculator.

( a ) tan θ = 3 ( b ) csc θ = 2

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

Blurred answer

Chapter 1.3, Problem 55E

Chapter 1.3, Problem 57E

Chapter 1 Solutions

Trigonometry (MindTap Course List)

Ch. 1.1 - Determine two coterminal angles (one positive and...Ch. 1.1 - Prob. 2ECP Ch. 1.1 - Convert each degree measure to radian measure as a...Ch. 1.1 - Prob. 4ECP Ch. 1.1 - A circle has a radius of 27 inches. Find the...Ch. 1.1 - The second hand of a clock is 8 centimeters long....Ch. 1.1 - The circular blade on a saw has a radius of 4...Ch. 1.1 - Prob. 8ECP Ch. 1.1 - Fill in the blanks. Two angles that have the same...Ch. 1.1 - Prob. 2E

Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Fill in the blanks. The ________ speed of a...Ch. 1.1 - Fill in the blanks. The area A of a sector of a...Ch. 1.1 - Estimating an Angle In Exercises 7-10, estimate...Ch. 1.1 - Estimating an Angle In Exercises 7-10, estimate...Ch. 1.1 - Estimating an Angle In Exercises 7-10, estimate...Ch. 1.1 - Estimating an Angle In Exercises 7-10, estimate...Ch. 1.1 - Determining Quadrants In Exercises 11 and 12,...Ch. 1.1 - Determining Quadrants In Exercises 11 and 12,...Ch. 1.1 - Sketching Angles In Exercises 13 and 14, sketch...Ch. 1.1 - Sketching Angles In Exercises 13 and 14, sketch...Ch. 1.1 - Finding Coterminal Angles In Exercises 15 and 16,...Ch. 1.1 - Finding Coterminal Angles In Exercises 15 and 16,...Ch. 1.1 - Complementary and Supplementary Angles In...Ch. 1.1 - Complementary and Supplementary Angles In...Ch. 1.1 - Complementary and Supplementary Angles In...Ch. 1.1 - Complementary and Supplementary Angles In...Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Determining Quadrants In Exercises 25 and 26,...Ch. 1.1 - Sketching Angles In Exercises 27 and 28, sketch...Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Converting from Degrees to Radians In Exercises 35...Ch. 1.1 - Converting from Degrees to Radians In Exercises 35...Ch. 1.1 - Converting from Radians to Degrees In Exercises 37...Ch. 1.1 - Converting from Radians to Degrees In Exercises 37...Ch. 1.1 - Prob. 39E Ch. 1.1 - Converting from Degrees to Radians In Exercises...Ch. 1.1 - Converting from Degrees to Radians In Exercises...Ch. 1.1 - Converting from Degrees to Radians In Exercises...Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Converting from Radians to Degrees In Exercises...Ch. 1.1 - Prob. 46E Ch. 1.1 - Converting to Decimal Degree Form In Exercises 47...Ch. 1.1 - Converting to Decimal Degree Form In Exercises 47...Ch. 1.1 - Converting to DM'S Form In Exercises 49 and 50,...Ch. 1.1 - Prob. 50E Ch. 1.1 - Finding Arc Length In Exercises 51 and 52, find...Ch. 1.1 - Prob. 52E Ch. 1.1 - Finding the Central Angle In Exercises 53 and 54,...Ch. 1.1 - Finding the Central Angle In Exercises 53 and 54,...Ch. 1.1 - Finding the Central Angle In Exercises 55 and 56,...Ch. 1.1 - Finding the Central Angle In Exercises 55 and 56,...Ch. 1.1 - Area of a Sector of a Circle In Exercises 57 and...Ch. 1.1 - Area of a Sector of a Circle In Exercises 57 and...Ch. 1.1 - Prob. 59E Ch. 1.1 - Prob. 60E Ch. 1.1 - Prob. 61E Ch. 1.1 - Prob. 62E Ch. 1.1 - Instrumentation The pointer on a voltmeter is 6...Ch. 1.1 - Linear and Angular Speed A 714 -inch circular...Ch. 1.1 - Linear and Angular Speed A carousel with 50-foot...Ch. 1.1 - Linear and Angular Speed A Blu-ray disc is...Ch. 1.1 - Linear and Angular Speed A computerized spin...Ch. 1.1 - Speed of a Bicycle The radii of the pedal...Ch. 1.1 - Area A sprinkler on a golf green is set to spray...Ch. 1.1 - Area A car’s rear windshield wiper rotates 125°....Ch. 1.1 - Prob. 71E Ch. 1.1 - True or False? In Exercises 71-74, determine...Ch. 1.1 - True or False? In Exercises 71–74, determine...Ch. 1.1 - True or False? In Exercises 71–74, determine...Ch. 1.1 - Writing When the radius of a circle increases and...Ch. 1.1 - Prob. 76E Ch. 1.1 - Prob. 77E Ch. 1.1 - Prob. 78E Ch. 1.1 - Prob. 79E Ch. 1.2 - Prob. 1ECP Ch. 1.2 - Prob. 2ECP Ch. 1.2 - Prob. 3ECP Ch. 1.2 - Prob. 1E Ch. 1.2 - Prob. 2E Ch. 1.2 - Prob. 3E Ch. 1.2 - Prob. 4E Ch. 1.2 - Prob. 5E Ch. 1.2 - Prob. 6E Ch. 1.2 - Prob. 7E Ch. 1.2 - Prob. 8E Ch. 1.2 - Prob. 9E Ch. 1.2 - Prob. 10E Ch. 1.2 - Prob. 11E Ch. 1.2 - Prob. 12E Ch. 1.2 - Prob. 13E Ch. 1.2 - Prob. 14E Ch. 1.2 - Prob. 15E Ch. 1.2 - Evaluating Sine, Cosine, and Tangent In Exercises...Ch. 1.2 - Prob. 17E Ch. 1.2 - Prob. 18E Ch. 1.2 - Prob. 19E Ch. 1.2 - Evaluating Sine, Cosine, and Tangent In Exercises...Ch. 1.2 - Prob. 21E Ch. 1.2 - Prob. 22E Ch. 1.2 - Prob. 23E Ch. 1.2 - Prob. 24E Ch. 1.2 - Prob. 25E Ch. 1.2 - Prob. 26E Ch. 1.2 - Prob. 27E Ch. 1.2 - Prob. 28E Ch. 1.2 - Prob. 29E Ch. 1.2 - Prob. 30E Ch. 1.2 - Using Period to Evaluate Sine and Cosine In...Ch. 1.2 - Using Period to Evaluate Sine and Cosine In...Ch. 1.2 - Using Period to Evaluate Sine and Cosine In...Ch. 1.2 - Prob. 34E Ch. 1.2 - Prob. 35E Ch. 1.2 - Prob. 36E Ch. 1.2 - Using the Value of a Function In Exercises 37-42,...Ch. 1.2 - Using the Value of a Function In Exercises 37–42,...Ch. 1.2 - Using the Value of a Function In Exercises 37-42,...Ch. 1.2 - Using the Value of a Function In Exercises 37–42,...Ch. 1.2 - Using the Value of a Function In Exercises 37–42,...Ch. 1.2 - Using the Value of a Function In Exercises 37–42,...Ch. 1.2 - Using a Calculator In Exercises 43-48, use a...Ch. 1.2 - Using a Calculator In Exercises 43-48, use a...Ch. 1.2 - Using a Calculator In Exercises 43-48, use a...Ch. 1.2 - Using a Calculator In Exercises 43-48, use a...Ch. 1.2 - Prob. 47E Ch. 1.2 - Prob. 48E Ch. 1.2 - Harmonic Motion The displacement from equilibrium...Ch. 1.2 - The displacement from equilibrium of an...Ch. 1.2 - True of False? In Exercises 51–54, determine...Ch. 1.2 - Prob. 52E Ch. 1.2 - True of False? In Exercises 51–54, determine...Ch. 1.2 - True of False? In Exercises 51–54, determine...Ch. 1.2 - Conjecture Let (x1,y1) and (x2,y2) be points on...Ch. 1.2 - Using the Unit Circle Use the unit circle to...Ch. 1.2 - Error Analysis Describe the error. Your classmate...Ch. 1.2 - Prob. 58E Ch. 1.2 - Prob. 59E Ch. 1.2 - HOW DO YOU SEE IT? Use the figure below. (a) Are...Ch. 1.2 - Prob. 61E Ch. 1.2 - Prob. 62E Ch. 1.3 - Use the triangle below to find the values of the...Ch. 1.3 - Find the values of cot45,sec45, and csc45.Ch. 1.3 - Use the equilateral triangle shown in Figure 1.21...Ch. 1.3 - Use a calculator to evaluate csc343036.Ch. 1.3 - Let be an acute angle such that cos =0.96. Find...Ch. 1.3 - Prob. 6ECP Ch. 1.3 - Prob. 7ECP Ch. 1.3 - The angle of elevation to the top of a flagpole at...Ch. 1.3 - Prob. 9ECP Ch. 1.3 - Prob. 10ECP Ch. 1.3 - Match each trigonometric function with its right...Ch. 1.3 - Prob. 2E Ch. 1.3 - Prob. 3E Ch. 1.3 - Prob. 4E Ch. 1.3 - Prob. 5E Ch. 1.3 - Prob. 6E Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Prob. 14E Ch. 1.3 - Prob. 15E Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Prob. 17E Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Prob. 19E Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Evaluating Trigonometric Functions In Exercises...Ch. 1.3 - Evaluating Trigonometric Functions of 30,45, 60 In...Ch. 1.3 - Prob. 24E Ch. 1.3 - Evaluating Trigonometric Functions of 30,45, and...Ch. 1.3 - Evaluating Trigonometric Functions of 30,45, and...Ch. 1.3 - Prob. 27E Ch. 1.3 - Prob. 28E Ch. 1.3 - Prob. 29E Ch. 1.3 - Prob. 30E Ch. 1.3 - Using a Calculator In Exercises 29-36, use a...Ch. 1.3 - Using a Calculator In Exercises 29-36, use a...Ch. 1.3 - Using a Calculator In Exercises 29-36, use a...Ch. 1.3 - Prob. 34E Ch. 1.3 - Using a Calculator In Exercises 29-36, use a...Ch. 1.3 - Using a Calculator In Exercises 29-36, use a...Ch. 1.3 - Applying Trigonometric Identities In Exercises...Ch. 1.3 - Applying Trigonometric Identities In Exercises...Ch. 1.3 - Applying Trigonometric Identities In Exercises...Ch. 1.3 - Applying Trigonometric Identities In Exercises...Ch. 1.3 - Prob. 41E Ch. 1.3 - Prob. 42E Ch. 1.3 - Prob. 43E Ch. 1.3 - Prob. 44E Ch. 1.3 - Using Trigonometric Identities In Exercises 43-52,...Ch. 1.3 - Using Trigonometric Identities In Exercises 43-52,...Ch. 1.3 - Using Trigonometric Identities In Exercises 43-52,...Ch. 1.3 - Using Trigonometric Identities In Exercises 43-52,...Ch. 1.3 - Using Trigonometric Identities In Exercises 43-52,...Ch. 1.3 - Using Trigonometric Identities In Exercises 43-52,...Ch. 1.3 - Using Trigonometric Identities In Exercises 43-52,...Ch. 1.3 - Using Trigonometric Identities In Exercises 43-52,...Ch. 1.3 - Finding Special Angles of a Triangle In Exercises...Ch. 1.3 - Finding Special Angles of a Triangle In Exercises...Ch. 1.3 - Finding Special Angles of a Triangle In Exercises...Ch. 1.3 - Finding Special Angles of a Triangle In Exercises...Ch. 1.3 - Finding Special Angles of a Triangle In Exercises...Ch. 1.3 - Finding Special Angles of a Triangle In Exercises...Ch. 1.3 - Finding Side Lengths of a Triangle In Exercises...Ch. 1.3 - Finding Side Lengths of a Triangle In Exercises...Ch. 1.3 - Finding Side Lengths of a Triangle In Exercises...Ch. 1.3 - Finding Side Lengths of a Triangle In Exercises...Ch. 1.3 - Empire State Building You are standing 45 meters...Ch. 1.3 - Height of a Tower A six-foot person walks from the...Ch. 1.3 - Angle of Elevation You are skiing down a mountain...Ch. 1.3 - Biology A biologist wants to know the width w of a...Ch. 1.3 - Guy Wire A guy wire runs from the ground to a cell...Ch. 1.3 - Height of a Mountain In traveling across flat...Ch. 1.3 - Prob. 69E Ch. 1.3 - Machine Shop Calculations A tapered shaft has a...Ch. 1.3 - Geometry Use a compass to sketch a quarter of a...Ch. 1.3 - A 20 meter line is used to tether a helium-filled...Ch. 1.3 - Johnstown Inclined Plane The Johnstown Inclined...Ch. 1.3 - Prob. 74E Ch. 1.3 - Prob. 75E Ch. 1.3 - Prob. 76E Ch. 1.3 - Prob. 77E Ch. 1.3 - True or False? In Exercises 75-80, determine...Ch. 1.3 - True or False? In Exercises 75-80, determine...Ch. 1.3 - True or False? In Exercises 75-80, determine...Ch. 1.3 - Think About It You are given the value of tan. Is...Ch. 1.3 - HOW DO YOU SEE IT? Use the figure below....Ch. 1.3 - Think About It Complete the table. (a) Is or sin...Ch. 1.3 - Think About It Complete the table. (a) Discuss the...Ch. 1.4 - Let 2,3 be a point on the terminal side of . Find...Ch. 1.4 - Given sin =45 and tan 0, find cos and tan .Ch. 1.4 - Evaluate the sine and cotangent functions at the...Ch. 1.4 - Prob. 4ECP Ch. 1.4 - Prob. 5ECP Ch. 1.4 - Prob. 6ECP Ch. 1.4 - Prob. 7ECP Ch. 1.4 - Fill in the blanks. In Exercises 16, let be an...Ch. 1.4 - Fill in the blanks. In Exercises 16, let be an...Ch. 1.4 - Fill in the blanks. In Exercises 16, let be an...Ch. 1.4 - Fill in the blanks. In Exercises 16, let be an...Ch. 1.4 - Fill in the blanks. In Exercises 16, let be an...Ch. 1.4 - Prob. 6E Ch. 1.4 - Prob. 7E Ch. 1.4 - Prob. 8E Ch. 1.4 - Evaluating Trigonometric Functions In Exercises...Ch. 1.4 - Evaluating Trigonometric Functions In Exercises...Ch. 1.4 - Evaluating Trigonometric Functions In Exercises...Ch. 1.4 - Evaluating Trigonometric Functions In Exercises...Ch. 1.4 - In Exercises 13-18, the point is on the terminal...Ch. 1.4 - In Exercises 13-18, the point is on the terminal...Ch. 1.4 - In Exercises 13-18, the point is on the terminal...Ch. 1.4 - In Exercises 13-18, the point is on the terminal...Ch. 1.4 - In Exercises 13-18, the point is on the terminal...Ch. 1.4 - Prob. 18E Ch. 1.4 - Determining a Quadrant In Exercises 19-22,...Ch. 1.4 - Determining a Quadrant In Exercises 19-22,...Ch. 1.4 - Determining a Quadrant In Exercises 19-22,...Ch. 1.4 - Determining a Quadrant In Exercises 19-22,...Ch. 1.4 - Evaluating Trigonometric Functions In Exercises...Ch. 1.4 - Prob. 24E Ch. 1.4 - Prob. 25E Ch. 1.4 - Evaluating Trigonometric Functions In Exercises...Ch. 1.4 - Prob. 27E Ch. 1.4 - Prob. 28E Ch. 1.4 - Prob. 29E Ch. 1.4 - Evaluating Trigonometric Functions In Exercises...Ch. 1.4 - Prob. 31E Ch. 1.4 - Evaluating Trigonometric Functions In Exercises...Ch. 1.4 - An Angle Formed by a Line Through the Origin In...Ch. 1.4 - An Angle Formed by a Line Through the Origin In...Ch. 1.4 - An Angle Formed by a Line Through the Origin In...Ch. 1.4 - An Angle Formed by a Line Through the Origin In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Trigonometric Function of a Quadrantal Angle In...Ch. 1.4 - Finding a Reference Angle In Exercises 47-54, find...Ch. 1.4 - Prob. 48E Ch. 1.4 - Prob. 49E Ch. 1.4 - Prob. 50E Ch. 1.4 - Prob. 51E Ch. 1.4 - Prob. 52E Ch. 1.4 - Prob. 53E Ch. 1.4 - Prob. 54E Ch. 1.4 - Prob. 55E Ch. 1.4 - Prob. 56E Ch. 1.4 - Prob. 57E Ch. 1.4 - Prob. 58E Ch. 1.4 - Prob. 59E Ch. 1.4 - Prob. 60E Ch. 1.4 - Prob. 61E Ch. 1.4 - Prob. 62E Ch. 1.4 - Prob. 63E Ch. 1.4 - Prob. 64E Ch. 1.4 - Prob. 65E Ch. 1.4 - Prob. 66E Ch. 1.4 - Prob. 67E Ch. 1.4 - Prob. 68E Ch. 1.4 - Using a Trigonometric Identity In Exercises 69-74,...Ch. 1.4 - Using a Trigonometric Identity In Exercises 69-74,...Ch. 1.4 - Using a Trigonometric Identity In Exercises 69-74,...Ch. 1.4 - Using a Trigonometric Identity In Exercises 69-74,...Ch. 1.4 - Using a Trigonometric Identity In Exercises 69-74,...Ch. 1.4 - Using a Trigonometric Identity In Exercises 69-74,...Ch. 1.4 - Prob. 75E Ch. 1.4 - Prob. 76E Ch. 1.4 - Prob. 77E Ch. 1.4 - Prob. 78E Ch. 1.4 - Prob. 79E Ch. 1.4 - Prob. 80E Ch. 1.4 - Prob. 81E Ch. 1.4 - Prob. 82E Ch. 1.4 - Prob. 83E Ch. 1.4 - Prob. 84E Ch. 1.4 - Prob. 85E Ch. 1.4 - Prob. 86E Ch. 1.4 - Prob. 87E Ch. 1.4 - Prob. 88E Ch. 1.4 - Prob. 89E Ch. 1.4 - Prob. 90E Ch. 1.4 - Solving for In Exercises 91-96, find two...Ch. 1.4 - Prob. 92E Ch. 1.4 - Prob. 93E Ch. 1.4 - Prob. 94E Ch. 1.4 - Prob. 95E Ch. 1.4 - Prob. 96E Ch. 1.4 - Prob. 97E Ch. 1.4 - Prob. 98E Ch. 1.4 - Prob. 99E Ch. 1.4 - Sales A company that produces snowboards forecasts...Ch. 1.4 - Prob. 101E Ch. 1.4 - Prob. 102E Ch. 1.4 - Prob. 103E Ch. 1.4 - Prob. 104E Ch. 1.4 - Prob. 105E Ch. 1.4 - Prob. 106E Ch. 1.5 - Sketch the graph of y=2cosx on the interval 2,92.Ch. 1.5 - Prob. 2ECP Ch. 1.5 - Prob. 3ECP Ch. 1.5 - Prob. 4ECP Ch. 1.5 - Prob. 5ECP Ch. 1.5 - Prob. 6ECP Ch. 1.5 - Prob. 7ECP Ch. 1.5 - Prob. 1E Ch. 1.5 - Prob. 2E Ch. 1.5 - Prob. 3E Ch. 1.5 - Prob. 4E Ch. 1.5 - Finding the Period and Amplitude In Exercises...Ch. 1.5 - Finding the Period and Amplitude In Exercises...Ch. 1.5 - Finding the Period and Amplitude In Exercises...Ch. 1.5 - Prob. 8E Ch. 1.5 - Finding the Period and Amplitude In Exercises...Ch. 1.5 - Prob. 10E Ch. 1.5 - Prob. 11E Ch. 1.5 - Finding the Period and Amplitude In Exercises...Ch. 1.5 - Describing the Relationship Between Graphs In...Ch. 1.5 - Prob. 14E Ch. 1.5 - Describing the Relationship Between Graphs In...Ch. 1.5 - Prob. 16E Ch. 1.5 - Prob. 17E Ch. 1.5 - Prob. 18E Ch. 1.5 - Prob. 19E Ch. 1.5 - Prob. 20E Ch. 1.5 - Describing the Relationship Between Graphs In...Ch. 1.5 - Describing the Relationship Between Graphs In...Ch. 1.5 - Prob. 23E Ch. 1.5 - Prob. 24E Ch. 1.5 - Prob. 25E Ch. 1.5 - Prob. 26E Ch. 1.5 - Prob. 27E Ch. 1.5 - Prob. 28E Ch. 1.5 - Prob. 29E Ch. 1.5 - Prob. 30E Ch. 1.5 - Prob. 31E Ch. 1.5 - Sketching the Graph of a Sine or Cosine Function...Ch. 1.5 - Prob. 33E Ch. 1.5 - Prob. 34E Ch. 1.5 - Prob. 35E Ch. 1.5 - Prob. 36E Ch. 1.5 - Prob. 37E Ch. 1.5 - Prob. 38E Ch. 1.5 - Prob. 39E Ch. 1.5 - Sketching the Graph of a Sine or Cosine Function...Ch. 1.5 - Prob. 41E Ch. 1.5 - Prob. 42E Ch. 1.5 - Prob. 43E Ch. 1.5 - Sketching the Graph of a Sine or Cosine Function...Ch. 1.5 - Prob. 45E Ch. 1.5 - Prob. 46E Ch. 1.5 - Prob. 47E Ch. 1.5 - Prob. 48E Ch. 1.5 - Prob. 49E Ch. 1.5 - Prob. 50E Ch. 1.5 - Prob. 51E Ch. 1.5 - Prob. 52E Ch. 1.5 - Prob. 53E Ch. 1.5 - Prob. 54E Ch. 1.5 - Prob. 55E Ch. 1.5 - Prob. 56E Ch. 1.5 - Prob. 57E Ch. 1.5 - Prob. 58E Ch. 1.5 - Prob. 59E Ch. 1.5 - Prob. 60E Ch. 1.5 - Prob. 61E Ch. 1.5 - Prob. 62E Ch. 1.5 - Prob. 63E Ch. 1.5 - Prob. 64E Ch. 1.5 - Graphical Reasoning In Exercises 65-68, find a and...Ch. 1.5 - Graphical Reasoning In Exercises 65-68, find a and...Ch. 1.5 - Prob. 67E Ch. 1.5 - Graphical Reasoning In Exercises 65-68, find a and...Ch. 1.5 - Graphical Reasoning In Exercises 69-72, find a,b,...Ch. 1.5 - Graphical Reasoning In Exercises 69-72, find a,b,...Ch. 1.5 - Prob. 71E Ch. 1.5 - Prob. 72E Ch. 1.5 - Prob. 73E Ch. 1.5 - Prob. 74E Ch. 1.5 - Prob. 75E Ch. 1.5 - Prob. 76E Ch. 1.5 - Prob. 77E Ch. 1.5 - Prob. 78E Ch. 1.5 - Prob. 79E Ch. 1.5 - For a person at rest, the velocity v (in liters...Ch. 1.5 - Prob. 81E Ch. 1.5 - Piano Tuning When tuning a piano, a technician...Ch. 1.5 - Astronomy The table shows the percent y (in...Ch. 1.5 - Meteorology The table shows the maximum daily high...Ch. 1.5 - Ferris Wheel The height h (in feet) above ground...Ch. 1.5 - Fuel Consumption The daily consumption C (in...Ch. 1.5 - Prob. 87E Ch. 1.5 - True or False? In Exercises 87-89, determine...Ch. 1.5 - True or False? In Exercises 87-89, determine...Ch. 1.5 - Prob. 90E Ch. 1.5 - Prob. 91E Ch. 1.5 - Prob. 92E Ch. 1.5 - Prob. 93E Ch. 1.5 - Prob. 94E Ch. 1.5 - Prob. 95E Ch. 1.6 - Prob. 1ECP Ch. 1.6 - Prob. 2ECP Ch. 1.6 - Prob. 3ECP Ch. 1.6 - Prob. 4ECP Ch. 1.6 - Prob. 5ECP Ch. 1.6 - Prob. 6ECP Ch. 1.6 - Prob. 1E Ch. 1.6 - Prob. 2E Ch. 1.6 - Prob. 3E Ch. 1.6 - Prob. 4E Ch. 1.6 - Prob. 5E Ch. 1.6 - Prob. 6E Ch. 1.6 - Prob. 7E Ch. 1.6 - Prob. 8E Ch. 1.6 - Prob. 9E Ch. 1.6 - Prob. 10E Ch. 1.6 - Prob. 11E Ch. 1.6 - Prob. 12E Ch. 1.6 - Prob. 13E Ch. 1.6 - Prob. 14E Ch. 1.6 - Prob. 15E Ch. 1.6 - Prob. 16E Ch. 1.6 - Prob. 17E Ch. 1.6 - Prob. 18E Ch. 1.6 - Prob. 19E Ch. 1.6 - Prob. 20E Ch. 1.6 - Prob. 21E Ch. 1.6 - Prob. 22E Ch. 1.6 - Prob. 23E Ch. 1.6 - Prob. 24E Ch. 1.6 - Prob. 25E Ch. 1.6 - Prob. 26E Ch. 1.6 - Prob. 27E Ch. 1.6 - Prob. 28E Ch. 1.6 - Prob. 29E Ch. 1.6 - Prob. 30E Ch. 1.6 - Prob. 31E Ch. 1.6 - Prob. 32E Ch. 1.6 - Prob. 33E Ch. 1.6 - Prob. 34E Ch. 1.6 - Prob. 35E Ch. 1.6 - Prob. 36E Ch. 1.6 - Prob. 37E Ch. 1.6 - Prob. 38E Ch. 1.6 - Prob. 39E Ch. 1.6 - Prob. 40E Ch. 1.6 - Prob. 41E Ch. 1.6 - Prob. 42E Ch. 1.6 - Prob. 43E Ch. 1.6 - Prob. 44E Ch. 1.6 - Prob. 45E Ch. 1.6 - Prob. 46E Ch. 1.6 - Prob. 47E Ch. 1.6 - Prob. 48E Ch. 1.6 - Prob. 49E Ch. 1.6 - Prob. 50E Ch. 1.6 - Prob. 51E Ch. 1.6 - Prob. 52E Ch. 1.6 - Solving a Trigonometric Equation In Exercises...Ch. 1.6 - Prob. 54E Ch. 1.6 - Prob. 55E Ch. 1.6 - Prob. 56E Ch. 1.6 - Prob. 57E Ch. 1.6 - Prob. 58E Ch. 1.6 - Prob. 59E Ch. 1.6 - Prob. 60E Ch. 1.6 - Prob. 61E Ch. 1.6 - Prob. 62E Ch. 1.6 - Prob. 63E Ch. 1.6 - Prob. 64E Ch. 1.6 - Prob. 65E Ch. 1.6 - Prob. 66E Ch. 1.6 - Prob. 67E Ch. 1.6 - Prob. 68E Ch. 1.6 - Prob. 69E Ch. 1.6 - Prob. 70E Ch. 1.6 - Prob. 71E Ch. 1.6 - Prob. 72E Ch. 1.6 - Prob. 73E Ch. 1.6 - Prob. 74E Ch. 1.6 - Prob. 75E Ch. 1.6 - Prob. 76E Ch. 1.6 - Prob. 77E Ch. 1.6 - Prob. 78E Ch. 1.6 - Prob. 79E Ch. 1.6 - Prob. 80E Ch. 1.6 - Prob. 81E Ch. 1.6 - Prob. 82E Ch. 1.6 - Meteorology The normal monthly high temperatures H...Ch. 1.6 - Sales The projected monthly sales S (in thousands...Ch. 1.6 - Prob. 85E Ch. 1.6 - Distance A plane flying at an altitude of 7 miles...Ch. 1.6 - Prob. 87E Ch. 1.6 - Prob. 88E Ch. 1.6 - Prob. 89E Ch. 1.6 - Prob. 90E Ch. 1.6 - Prob. 91E Ch. 1.6 - Prob. 92E Ch. 1.6 - Prob. 93E Ch. 1.6 - Prob. 94E Ch. 1.7 - If possible, find the exact value of each...Ch. 1.7 - Prob. 2ECP Ch. 1.7 - Prob. 3ECP Ch. 1.7 - Use a calculator to approximate the value of each...Ch. 1.7 - Prob. 5ECP Ch. 1.7 - Prob. 6ECP Ch. 1.7 - Prob. 7ECP Ch. 1.7 - Prob. 1E Ch. 1.7 - Prob. 2E Ch. 1.7 - Fill in the blanks....Ch. 1.7 - Prob. 4E Ch. 1.7 - Prob. 5E Ch. 1.7 - Prob. 6E Ch. 1.7 - Prob. 7E Ch. 1.7 - Prob. 8E Ch. 1.7 - Prob. 9E Ch. 1.7 - Prob. 10E Ch. 1.7 - Prob. 11E Ch. 1.7 - Prob. 12E Ch. 1.7 - Prob. 13E Ch. 1.7 - Prob. 14E Ch. 1.7 - Prob. 15E Ch. 1.7 - Prob. 16E Ch. 1.7 - Prob. 17E Ch. 1.7 - Prob. 18E Ch. 1.7 - Prob. 19E Ch. 1.7 - Prob. 20E Ch. 1.7 - Prob. 21E Ch. 1.7 - Prob. 22E Ch. 1.7 - Prob. 23E Ch. 1.7 - Prob. 24E Ch. 1.7 - Prob. 25E Ch. 1.7 - Prob. 26E Ch. 1.7 - Prob. 27E Ch. 1.7 - Prob. 28E Ch. 1.7 - Prob. 29E Ch. 1.7 - Prob. 30E Ch. 1.7 - Prob. 31E Ch. 1.7 - Prob. 32E Ch. 1.7 - Prob. 33E Ch. 1.7 - Prob. 34E Ch. 1.7 - Prob. 35E Ch. 1.7 - Prob. 36E Ch. 1.7 - Prob. 37E Ch. 1.7 - Finding Missing Coordinates In Exercises 37 and...Ch. 1.7 - Prob. 39E Ch. 1.7 - Prob. 40E Ch. 1.7 - Prob. 41E Ch. 1.7 - Prob. 42E Ch. 1.7 - Prob. 43E Ch. 1.7 - Using an Inverse Trigonometric Function In...Ch. 1.7 - Using Inverse Properties In Exercises 45-50, find...Ch. 1.7 - Using Inverse Properties In Exercises 45-50, find...Ch. 1.7 - Using Inverse Properties In Exercises 45-50, find...Ch. 1.7 - Using Inverse Properties In Exercises 45-50, find...Ch. 1.7 - Using Inverse Properties In Exercises 45-50, find...Ch. 1.7 - Using Inverse Properties In Exercises 45-50, find...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Evaluating a Composition of Functions In Exercises...Ch. 1.7 - Prob. 63E Ch. 1.7 - Prob. 64E Ch. 1.7 - Prob. 65E Ch. 1.7 - Prob. 66E Ch. 1.7 - Prob. 67E Ch. 1.7 - Prob. 68E Ch. 1.7 - Prob. 69E Ch. 1.7 - Prob. 70E Ch. 1.7 - Writing an Expression In Exercises 63-72, write an...Ch. 1.7 - Prob. 72E Ch. 1.7 - Prob. 73E Ch. 1.7 - Prob. 74E Ch. 1.7 - Prob. 75E Ch. 1.7 - Prob. 76E Ch. 1.7 - Prob. 77E Ch. 1.7 - Prob. 78E Ch. 1.7 - Prob. 79E Ch. 1.7 - Prob. 80E Ch. 1.7 - Prob. 81E Ch. 1.7 - Prob. 82E Ch. 1.7 - Prob. 83E Ch. 1.7 - Prob. 84E Ch. 1.7 - Prob. 85E Ch. 1.7 - Prob. 86E Ch. 1.7 - Prob. 87E Ch. 1.7 - Prob. 88E Ch. 1.7 - Prob. 89E Ch. 1.7 - Prob. 90E Ch. 1.7 - Prob. 91E Ch. 1.7 - Prob. 92E Ch. 1.7 - Prob. 93E Ch. 1.7 - Prob. 94E Ch. 1.7 - Prob. 95E Ch. 1.7 - Prob. 96E Ch. 1.7 - Prob. 97E Ch. 1.7 - Prob. 98E Ch. 1.7 - Docking a Boat A boat is pulled in by means of a...Ch. 1.7 - A television camera at ground level films the...Ch. 1.7 - Granular Angle of Repose Different types of...Ch. 1.7 - Prob. 102E Ch. 1.7 - Photography A photographer takes a picture of a...Ch. 1.7 - Prob. 104E Ch. 1.7 - Police Patrol A police car with its spotlight on...Ch. 1.7 - Prob. 106E Ch. 1.7 - Prob. 107E Ch. 1.7 - Prob. 108E Ch. 1.7 - Prob. 109E Ch. 1.7 - Prob. 110E Ch. 1.7 - Prob. 111E Ch. 1.7 - Prob. 112E Ch. 1.7 - Prob. 113E Ch. 1.7 - Prob. 114E Ch. 1.7 - Prob. 115E Ch. 1.7 - Prob. 116E Ch. 1.7 - Prob. 117E Ch. 1.7 - Prob. 118E Ch. 1.7 - Prob. 119E Ch. 1.7 - Evaluating an Inverse Trigonometric Function In...Ch. 1.7 - Prob. 121E Ch. 1.7 - Prob. 122E Ch. 1.7 - Prob. 123E Ch. 1.7 - Prob. 124E Ch. 1.7 - Calculators and Inverse Trigonometric Functions In...Ch. 1.7 - Calculators and Inverse Trigonometric Functions In...Ch. 1.7 - Prob. 127E Ch. 1.7 - Think About It Use a graphing utility to graph the...Ch. 1.7 - Prob. 129E Ch. 1.7 - Prob. 130E Ch. 1.8 - Solve the right triangle shown at the right for...Ch. 1.8 - Prob. 2ECP Ch. 1.8 - At a point 65 feet from the base of a church, the...Ch. 1.8 - From the time a small airplane is 100 feet high...Ch. 1.8 - Prob. 5ECP Ch. 1.8 - Prob. 6ECP Ch. 1.8 - Prob. 7ECP Ch. 1.8 - Fill in the blanks. A measures the acute angle...Ch. 1.8 - A point that moves on a coordinate line is in...Ch. 1.8 - Fill in the blanks. The time for one complete...Ch. 1.8 - The number of cycles per second of a point in...Ch. 1.8 - Solving a Right Triangle In Exercises 5-12, solve...Ch. 1.8 - Solving a Right Triangle In Exercises 5-12, solve...Ch. 1.8 - Solving a Right Triangle In Exercises 5-12, solve...Ch. 1.8 - Solving a Right Triangle In Exercises 5-12, solve...Ch. 1.8 - Prob. 9E Ch. 1.8 - Prob. 10E Ch. 1.8 - Prob. 11E Ch. 1.8 - Solving a Right Triangle In Exercises 5-12, solve...Ch. 1.8 - Finding an Altitude In Exercises 13-16, find the...Ch. 1.8 - Prob. 14E Ch. 1.8 - Finding an Altitude In Exercises 13-16, find the...Ch. 1.8 - Prob. 16E Ch. 1.8 - Prob. 17E Ch. 1.8 - Prob. 18E Ch. 1.8 - Prob. 19E Ch. 1.8 - Prob. 20E Ch. 1.8 - Height At a point 50 feet from the base of a...Ch. 1.8 - Distance An observer in a lighthouse 350 feet...Ch. 1.8 - Distance A passenger in an airplane at an altitude...Ch. 1.8 - Angle of Elevation The height of an outdoor...Ch. 1.8 - Angle of Elevation An engineer designs a 75-foot...Ch. 1.8 - Angle of Depression A cellular telephone tower...Ch. 1.8 - Angle of Depression A Global Positioning System...Ch. 1.8 - Height You are holding one of the tethers attached...Ch. 1.8 - Prob. 29E Ch. 1.8 - The designers of a water park have sketched a...Ch. 1.8 - Speed Enforcement A police department has set up a...Ch. 1.8 - Airplane Ascent During takeoff, an airplane’s...Ch. 1.8 - Air Navigation An airplane flying at 550 miles per...Ch. 1.8 - Prob. 34E Ch. 1.8 - Prob. 35E Ch. 1.8 - Prob. 36E Ch. 1.8 - Prob. 37E Ch. 1.8 - Prob. 38E Ch. 1.8 - Surveying A surveyor wants to find the distance...Ch. 1.8 - Location of a Fire tower A is 30 kilometers due...Ch. 1.8 - Prob. 41E Ch. 1.8 - Prob. 42E Ch. 1.8 - Geometry Find the length of the sides of a regular...Ch. 1.8 - Prob. 44E Ch. 1.8 - Simple Harmonic Motion In Exercises 45-48, find a...Ch. 1.8 - Simple Harmonic Motion In Exercises 45-48, find a...Ch. 1.8 - Prob. 47E Ch. 1.8 - Prob. 48E Ch. 1.8 - Tuning Fork A point on the end of a tuning fork...Ch. 1.8 - Prob. 50E Ch. 1.8 - Prob. 51E Ch. 1.8 - Prob. 52E Ch. 1.8 - Prob. 53E Ch. 1.8 - Simple Harmonic Motion In Exercises 51-54, for the...Ch. 1.8 - Oscillation of a Spring A ball that is bobbing up...Ch. 1.8 - Hours of Daylight The numbers of hours H of...Ch. 1.8 - Sales The table shows the average sales S (in...Ch. 1.8 - HOW DO YOU SEE IT? The graph below shows the...Ch. 1.8 - True or False? In Exercises 59 and 60, determine...Ch. 1.8 - Prob. 60E Ch. 1 - Using Radian or Degree Measure In Exercises 1-4,...Ch. 1 - Using Radian or Degree Measure In Exercises 1-4,...Ch. 1 - Using Radian or Degree Measure In Exercises 1-4,...Ch. 1 - Prob. 4RE Ch. 1 - Prob. 5RE Ch. 1 - Prob. 6RE Ch. 1 - Prob. 7RE Ch. 1 - Prob. 8RE Ch. 1 - Prob. 9RE Ch. 1 - Prob. 10RE Ch. 1 - Prob. 11RE Ch. 1 - Prob. 12RE Ch. 1 - Prob. 13RE Ch. 1 - Prob. 14RE Ch. 1 - Prob. 15RE Ch. 1 - Phonograph Phonograph records are vinyl discs that...Ch. 1 - Prob. 17RE Ch. 1 - Prob. 18RE Ch. 1 - Prob. 19RE Ch. 1 - Prob. 20RE Ch. 1 - Prob. 21RE Ch. 1 - Prob. 22RE Ch. 1 - Prob. 23RE Ch. 1 - Prob. 24RE Ch. 1 - Prob. 25RE Ch. 1 - Prob. 26RE Ch. 1 - Prob. 27RE Ch. 1 - Prob. 28RE Ch. 1 - Prob. 29RE Ch. 1 - Prob. 30RE Ch. 1 - Prob. 31RE Ch. 1 - Prob. 32RE Ch. 1 - Prob. 33RE Ch. 1 - Prob. 34RE Ch. 1 - Prob. 35RE Ch. 1 - Prob. 36RE Ch. 1 - Prob. 37RE Ch. 1 - Prob. 38RE Ch. 1 - Prob. 39RE Ch. 1 - Prob. 40RE Ch. 1 - Railroad Grade A train travels 3.5 kilometers on a...Ch. 1 - Prob. 42RE Ch. 1 - Prob. 43RE Ch. 1 - Prob. 44RE Ch. 1 - Prob. 45RE Ch. 1 - Prob. 46RE Ch. 1 - Prob. 47RE Ch. 1 - Prob. 48RE Ch. 1 - Prob. 49RE Ch. 1 - Prob. 50RE Ch. 1 - Prob. 51RE Ch. 1 - Prob. 52RE Ch. 1 - Prob. 53RE Ch. 1 - Prob. 54RE Ch. 1 - Prob. 55RE Ch. 1 - Prob. 56RE Ch. 1 - Prob. 57RE Ch. 1 - Prob. 58RE Ch. 1 - Prob. 59RE Ch. 1 - Prob. 60RE Ch. 1 - Prob. 61RE Ch. 1 - Prob. 62RE Ch. 1 - Prob. 63RE Ch. 1 - Sketching the Graph of a Sine or Cosine Function...Ch. 1 - Prob. 65RE Ch. 1 - Sketching the Graph of a Sine or Cosine Function...Ch. 1 - Prob. 67RE Ch. 1 - Prob. 68RE Ch. 1 - Prob. 69RE Ch. 1 - Meteorology The times S of sunset (Greenwich Mean...Ch. 1 - Prob. 71RE Ch. 1 - Prob. 72RE Ch. 1 - Prob. 73RE Ch. 1 - Prob. 74RE Ch. 1 - Prob. 75RE Ch. 1 - Prob. 76RE Ch. 1 - Prob. 77RE Ch. 1 - Prob. 78RE Ch. 1 - Prob. 79RE Ch. 1 - Prob. 80RE Ch. 1 - Prob. 81RE Ch. 1 - Calculators and Inverse Trigonometric Functions In...Ch. 1 - Calculators and Inverse Trigonometric Functions In...Ch. 1 - Calculators and Inverse Trigonometric Functions In...Ch. 1 - Prob. 85RE Ch. 1 - Prob. 86RE Ch. 1 - Prob. 87RE Ch. 1 - Evaluating a Composition of Functions In Exercises...Ch. 1 - Evaluating a Composition of Functions In Exercises...Ch. 1 - Prob. 90RE Ch. 1 - Prob. 91RE Ch. 1 - Writing an Expression In Exercises 91 and 92,...Ch. 1 - Prob. 93RE Ch. 1 - Prob. 94RE Ch. 1 - Air Navigation From city A to city B, a plane...Ch. 1 - Prob. 96RE Ch. 1 - True or False? In Exercises 97 and 98, determine...Ch. 1 - Prob. 98RE Ch. 1 - Prob. 99RE Ch. 1 - Prob. 100RE Ch. 1 - Writing When graphing the sine and cosine...Ch. 1 - Graphical Reasoning Use the formulas for the area...Ch. 1 - Take this test as you would take a test in class....Ch. 1 - Prob. 2T Ch. 1 - Take this test as you would take a test in class....Ch. 1 - Take this test as you would take a test in class....Ch. 1 - Take this test as you would take a test in class....Ch. 1 - Prob. 6T Ch. 1 - Prob. 7T Ch. 1 - Prob. 8T Ch. 1 - Prob. 9T Ch. 1 - In Exercises 9 and 10, find the exact values of...Ch. 1 - Prob. 11T Ch. 1 - In Exercises 11-13, sketch the graph of the...Ch. 1 - In Exercises 11-13, sketch the graph of the...Ch. 1 - In Exercises 14 and 15, use a graphing utility to...Ch. 1 - In Exercises 14 and 15, use a graphing utility to...Ch. 1 - Prob. 16T Ch. 1 - Prob. 17T Ch. 1 - Sketch the graph of the function fx=2arcsin12x.Ch. 1 - An airplane is 90 miles south and 110 miles east...Ch. 1 - A ball on a spring starts at its lowest point of 6...Ch. 1 - Prob. 1PS Ch. 1 - Prob. 2PS Ch. 1 - Prob. 3PS Ch. 1 - Periodic Function The function f is periodic, with...Ch. 1 - Surveying A surveyor in a helicopter is...Ch. 1 - Similar Triangles and Trigonometric Functions Use...Ch. 1 - Prob. 7PS Ch. 1 - Prob. 8PS Ch. 1 - Blood Pressure The pressure P (in millimeters of...Ch. 1 - Biorhythms A popular theory that attempts to...Ch. 1 - Prob. 11PS Ch. 1 - Prob. 12PS Ch. 1 - Refraction When you stand in shallow water and...Ch. 1 - Prob. 14PS

Knowledge Booster

Background pattern image

$Trigonometry$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Similar questions

Recommended textbooks for you

Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage

Text book image

Trigonometry (MindTap Course List)

Trigonometry

ISBN:9781337278461

Author:Ron Larson

Publisher:Cengage Learning

Text book image

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:9781133382119

Author:Swokowski

Publisher:Cengage

SEE MORE TEXTBOOKS

Fundamental Trigonometric Identities: Reciprocal, Quotient, and Pythagorean Identities; Author: Mathispower4u;https://www.youtube.com/watch?v=OmJ5fxyXrfg;License: Standard YouTube License, CC-BY