1 The Six Trigonometric Functions 2 Right Triangle Trigonometry 3 Radian Measure 4 Graphing And Inverse Functions 5 Identities And Formulas 6 Equations 7 Triangles 8 Complex Numbers And Polarcoordinates A Appendix: Review Topics Chapter1: The Six Trigonometric Functions
1.1 Angles, Degrees, And Special Triangles 1.2 The Rectangular Coordinate System 1.3 Definition I: Trigonometric Functions 1.4 Introduction To Identities 1.5 More On Identities Chapter Questions Section1.3: Definition I: Trigonometric Functions
Problem 1PS: For Questions 1 and 2, fill in each blank with the appropriate word or number. In Definition I, (x,... Problem 2PS Problem 3PS Problem 4PS: Which of the six trigonometric functions do not depend on the value of r? Problem 5PS: Find all six trigonometric functions of if the given point is on the terminal side of . (In Problem... Problem 6PS Problem 7PS Problem 8PS Problem 9PS Problem 10PS Problem 11PS: Find all six trigonometric functions of if the given point is on the terminal side of . (In Problem... Problem 12PS: Find all six trigonometric functions of if the given point is on the terminal side of . (In Problem... Problem 13PS Problem 14PS Problem 15PS Problem 16PS Problem 17PS: In the following diagrams, angle is in standard position. In each case, find sin , cos , and tan . Problem 18PS: In the following diagrams, angle is in standard position. In each case, find sin , cos , and tan . Problem 19PS: In the following diagrams, angle is in standard position. In each case, find sin , cos , and tan . Problem 20PS Problem 21PS: Use your calculator to find sin and cos if the point (9.36, 7.02) is on the terminal side of . Problem 22PS Problem 23PS: Draw each of the following angles in standard position, find a point on the terminal side, and then... Problem 24PS: Draw each of the following angles in standard position, find a point on the terminal side, and then... Problem 25PS: Draw each of the following angles in standard position, find a point on the terminal side, and then... Problem 26PS Problem 27PS Problem 28PS: Draw each of the following angles in standard position, find a point on the terminal side, and then... Problem 29PS Problem 30PS: Draw each of the following angles in standard position, find a point on the terminal side, and then... Problem 31PS: Determine whether each statement is true or false. cos35cos45 Problem 32PS Problem 33PS Problem 34PS Problem 35PS: Explain why there is no angle such that sin = 2. Problem 36PS: Explain why there is no angle such that sec =12. Problem 37PS Problem 38PS: Why is sin 1 for any angle in standard position? Problem 39PS: As increases from 0 to 90, the value of sin tends toward what number? Problem 40PS Problem 41PS: As increases from 0 to 90, the value of tan tends toward ___________. Problem 42PS: As increases from 0 to 90, the value of csc tends toward _______. Problem 43PS Problem 44PS Problem 45PS: Indicate the two quadrants could terminate in given the value of the trigonometric function.... Problem 46PS Problem 47PS: Indicate the two quadrants could terminate in given the value of the trigonometric function.... Problem 48PS: Indicate the two quadrants could terminate in given the value of the trigonometric function.... Problem 49PS: Indicate the two quadrants could terminate in given the value of the trigonometric function.... Problem 50PS Problem 51PS Problem 52PS Problem 53PS: Indicate the quadrants in which the terminal side of must lie under each of the following... Problem 54PS: Indicate the quadrants in which the terminal side of must lie under each of the following... Problem 55PS Problem 56PS: For Problems 55 through 68, find the remaining trigonometric functions of based on the given... Problem 57PS: For Problems 55 through 68, find the remaining trigonometric functions of based on the given... Problem 58PS: For Problems 55 through 68, find the remaining trigonometric functions of based on the given... Problem 59PS: For Problems 55 through 68, find the remaining trigonometric functions of based on the given... Problem 60PS: For Problems 55 through 68, find the remaining trigonometric functions of based on the given... Problem 61PS Problem 62PS: For Problems 55 through 68, find the remaining trigonometric functions of based on the given... Problem 63PS Problem 64PS Problem 65PS Problem 66PS Problem 67PS: For Problems 55 through 68, find the remaining trigonometric functions of based on the given... Problem 68PS: For Problems 55 through 68, find the remaining trigonometric functions of based on the given... Problem 69PS Problem 70PS Problem 71PS: Find sin and cos if the terminal side of lies along the line y=2x in QI. Problem 72PS: Find sin and cos if the terminal side of lies along the line y=12x QIII. Problem 73PS: Find sin and tan if the terminal side of lies along the line y=3x in QII. Problem 74PS: Find sin and tan if the terminal side of lies along the line y=3x in QIV. Problem 75PS Problem 76PS Problem 77PS Problem 78PS Problem 79PS: Find cos if (1, –3) is a point on the terminal side of . a. 22 b. 13 c. 31010 d. 1010 Problem 80PS Problem 81PS Problem 82PS: Find tan if sin =45 and terminates in QII. a. 43 b. 35 c. 53 d. 34 Problem 36PS: Explain why there is no angle such that sec =12.
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To explain why it is possible to find an angle theta that will make sec theta as large as we wish.
Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.
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