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 Chapter3: Radian Measure
3.1 Reference Angle 3.2 Radians And Degrees 3.3 Definition Iii: Circular Functions 3.4 Arc Length And Area Of A Sector 3.5 Velocities Chapter Questions Section3.2: Radians And Degrees
Problem 1PS: For Questions 1 and 2, fill in each blank with the appropriate word or number. A radian is the... Problem 2PS: For Questions 1 and 2, fill in each blank with the appropriate word or number. When converting... Problem 3PS: Complete each statement regarding an angle and its reference angle using radian measure. If QI,... Problem 4PS: Match each angle (a-d) with its corresponding radian measure (i-iv). 30 45 60 90 2 3 6 4 Problem 5PS Problem 6PS: Find the radian measure of angle , if is a central angle in a circle of radius r, and cuts off an... Problem 7PS Problem 8PS Problem 9PS: Find the radian measure of angle , if is a central angle in a circle of radius r, and cuts off an... Problem 10PS: Find the radian measure of angle , if is a central angle in a circle of radius r, and cuts off an... Problem 11PS: Angle Between Cities Los Angeles and San Francisco are approximately 450 miles apart on the surface... Problem 12PS: Angle Between Cities Los Angeles and New York City are approximately 2,500 miles apart on the... Problem 13PS Problem 14PS Problem 15PS: For each of the following angles, a. draw the angle in standard position. b. convert to radian... Problem 16PS: For each of the following angles, a. draw the angle in standard position. b. convert to radian... Problem 17PS: For each of the following angles, a. draw the angle in standard position. b. convert to radian... Problem 18PS Problem 19PS Problem 20PS Problem 21PS: For Problems 21 through 24, use 3.1416 for unless your calculator has a key marked . Use a... Problem 22PS Problem 23PS: For Problems 21 through 24, use 3.1416 for unless your calculator has a key marked . Use a... Problem 24PS Problem 25PS: Find the number of regular (statute) miles in 1 nautical mile to the nearest hundredth of a mile.... Problem 26PS: If two ships are 30 nautical miles apart on the ocean, how many statute miles apart are they? (Use... Problem 27PS: If two ships are 70 nautical miles apart on the ocean, what is the great circle distance between... Problem 28PS: If the great circle distance between two ships on the ocean is 0.1 radian, what is this distance in... Problem 29PS: Clock Through how many radians does the minute hand of a clock turn during a 5-minute period? Problem 30PS: Clock Through how many radians does the minute hand of a clock turn during a 35-minute period? Problem 31PS Problem 32PS Problem 33PS Problem 34PS Problem 35PS Problem 36PS Problem 37PS Problem 38PS Problem 39PS: Write each angle as a sum or difference involving . For example, 5/6=/6. 23 Problem 40PS Problem 41PS: Write each angle as a sum or difference involving . For example, 5/6=/6, 76 Problem 42PS Problem 43PS Problem 44PS Problem 45PS Problem 46PS: For each of the following angles, a. draw the angle in standard position. b. convert to degree... Problem 47PS Problem 48PS Problem 49PS Problem 50PS Problem 51PS Problem 52PS Problem 53PS: Use a calculator to convert each of the following to degree measure to the nearest tenth of a... Problem 54PS Problem 55PS: Use a calculator to convert each of the following to degree measure to the nearest tenth of a... Problem 56PS Problem 57PS: Give the exact value of each of the following: sin43 Problem 58PS Problem 59PS Problem 60PS: Give the exact value of each of the following: cot4 Problem 61PS Problem 62PS Problem 63PS Problem 64PS Problem 65PS Problem 66PS Problem 67PS Problem 68PS: Give the exact value of each of the following: 4sin(6) Problem 69PS Problem 70PS Problem 71PS Problem 72PS: Evaluate each of the following expressions when x is /6. In each case, use exact values. 5sin3x Problem 73PS Problem 74PS Problem 75PS: Evaluate each of the following expressions when x is /6. In each case, use exact values. sin(x+2) Problem 76PS: Evaluate each of the following expressions when x is /6. In each case, use exact values. cos(x3) Problem 77PS Problem 78PS Problem 79PS Problem 80PS: Evaluate each of the following expressions when x is /6. In each case, use exact values.... Problem 81PS Problem 82PS Problem 83PS Problem 84PS Problem 85PS Problem 86PS Problem 87PS Problem 88PS Problem 89PS Problem 90PS Problem 91PS Problem 92PS: For the following expressions, find the value of y that corresponds to each value of x, then write... Problem 93PS Problem 94PS: For the following expressions, find the value of y that corresponds to each value of x, then write... Problem 95PS: Cycling The Campagnolo Hyperon Ultra Two carbon wheel has 22 spokes evenly distributed around the... Problem 96PS: Cycling The Reynolds RZR 46 carbon wheel has 16 spokes evenly distributed around the rim of the... Problem 97PS Problem 98PS Problem 99PS Problem 100PS Problem 101PS: Find the remaining trigonometric functions of , if sin=12 and terminates in QII. Problem 102PS Problem 103PS Problem 104PS Problem 105PS Problem 106PS Problem 107PS Problem 108PS Problem 27PS: If two ships are 70 nautical miles apart on the ocean, what is the great circle distance between...
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