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 Section1.4: Introduction To Identities
Problem 1PS: For Questions 1 and 2, fill in each blank with the appropriate word or expression. An identity is an... Problem 2PS: For Questions 1 and 2, fill in each blank with the appropriate word or expression. The notation cos2... Problem 3PS: Match each trigonometric function with its reciprocal. a. sine i. cotangent b. cosine ii. cosecant... Problem 4PS: Match the trigonometric functions that are related through a Pythagorean identity. a. sine i. secant... Problem 5PS Problem 6PS Problem 7PS Problem 8PS Problem 9PS Problem 10PS Problem 11PS: Give the reciprocal of each number. x Problem 12PS Problem 13PS Problem 14PS Problem 15PS: Use the reciprocal identities for the following problems. If sec=2, find cos. Problem 16PS Problem 17PS: Use the reciprocal identities for the following problems. If tan=a(a0), find cot. Problem 18PS Problem 19PS: Use a ratio identity to find tan given the following values. sin=255 and cos=55 Problem 20PS Problem 21PS: Use a ratio identity to find tan given the following values. sin=513 and cos=1213 Problem 22PS Problem 23PS: For Problems 23 through 26, recall that sin2 means (sin)2. If sin=22, find sin2. Problem 24PS Problem 25PS: For Problems 23 through 26, recall that sin2 means (sin)2. If tan=2, find tan3. Problem 26PS Problem 27PS Problem 28PS Problem 29PS Problem 30PS: For Problems 27 through 30, let sin=12/13, and cos=5/13, and find the indicated value. csc Problem 31PS Problem 32PS Problem 33PS: Use the equivalent forms of the first Pythagorean identity on Problems 31 through 38. Find cos if... Problem 34PS: Use the equivalent forms of the first Pythagorean identity on Problems 31 through 38. Find cos if... Problem 35PS: Use the equivalent forms of the first Pythagorean identity on Problems 31 through 38. If sin=45 and ... Problem 36PS: Use the equivalent forms of the first Pythagorean identity on Problems 31 through 38. If sin=513 and... Problem 37PS: Use the equivalent forms of the first Pythagorean identity on Problems 31 through 38. If cos=32 and ... Problem 38PS: Use the equivalent forms of the first Pythagorean identity on Problems 31 through 38. If cos=22 and ... Problem 39PS: Find tan if sin=13 and terminates in QI. Problem 40PS: Find cot if cot=23 and terminates in QII. Problem 41PS: Find sec if tan=815 and terminates in QIII. Problem 42PS: Find csc if cot=247 and terminates in QIII. Problem 43PS Problem 44PS: Find sec if tan=2021 and cos0. Problem 45PS: Find the remaining trigonometric ratios of based on the given information. cos=1213 and terminates... Problem 46PS: Find the remaining trigonometric ratios of based on the given information. sin=45 and terminates... Problem 47PS: Find the remaining trigonometric ratios of based on the given information. sin=12 and is not in... Problem 48PS: Find the remaining trigonometric ratios of based on the given information. cos=15 and is not in... Problem 49PS: Find the remaining trigonometric ratios of based on the given information. csc=2 and cos is... Problem 50PS: Find the remaining trigonometric ratios of based on the given information. sec=3 and sin is... Problem 51PS: Find the remaining trigonometric ratios of based on the given information. cos=21313 and QIV Problem 52PS: Find the remaining trigonometric ratios of based on the given information. sin=41717 and QIII Problem 53PS: Find the remaining trigonometric ratios of based on the given information. csc=a and terminates in... Problem 54PS: Find the remaining trigonometric ratios of based on the given information. sec=b and terminates in... Problem 55PS: Using your calculator and rounding your answers to the nearest hundredth, find the remaining... Problem 56PS Problem 57PS: Using your calculator and rounding your answers to the nearest hundredth, find the remaining... Problem 58PS Problem 59PS Problem 60PS Problem 61PS: Suppose the angle formed by the line y = 3x and the positive x-axis is 6. Find the tangent of ... Problem 62PS: Find tan if is the angle formed by the line y = mx and the positive x-axis (Figure 2). Figure 2 Problem 63PS: Find sec if cos=1/3. a. 22 b. 223 c. 3 d. 324 Problem 64PS Problem 65PS Problem 66PS: Which answer correctly uses a Pythagorean identity to find sin if cos=1/4 and terminates in QIV? a.... Problem 61PS: Suppose the angle formed by the line y = 3x and the positive x-axis is 6. Find the tangent of ...
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