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 Section3.3: Definition Iii: Circular Functions
Problem 1PS: For Questions 1 through 6, fill in each blank with the appropriate word or number. If (x,y) is a... Problem 2PS: For Questions 1 through 6, fill in each blank with the appropriate word or number. On the unit... Problem 3PS Problem 4PS: For Questions 1 through 6, fill in each blank with the appropriate word or number. The circular... Problem 5PS: For Questions 1 through 6, fill in each blank with the appropriate word or number. The trigonometric... Problem 6PS: For Questions 1 through 6, fill in each blank with the appropriate word or number. The largest... Problem 7PS: Use the unit circle to evaluate each function. sin30 Problem 8PS Problem 9PS: Use the unit circle to evaluate each function. cot90 Problem 10PS: Use the unit circle to evaluate each function. tan330 Problem 11PS Problem 12PS: Use the unit circle to evaluate each function. csc300 Problem 13PS Problem 14PS: Use the unit circle to evaluate each function. sin32 Problem 15PS: Use the unit circle to evaluate each function. tan56 Problem 16PS: Use the unit circle to evaluate each function. sec54 Problem 17PS Problem 18PS: Use the unit circle to evaluate each function. cot23 Problem 19PS Problem 20PS Problem 21PS: Use the unit circle to find the six trigonometric functions of each angle. 53 Problem 22PS: Use the unit circle to find the six trigonometric functions of each angle. 76 Problem 23PS: Use the unit circle to find the six trigonometric functions of each angle. 180 Problem 24PS Problem 25PS Problem 26PS Problem 27PS Problem 28PS: Use the unit circle to find all values of between 0 and 2 for which the given statement is true.... Problem 29PS: Use the unit circle to find all values of between 0 and 2 for which the given statement is true.... Problem 30PS Problem 31PS: Use the unit circle to find all values of between 0 and 2 for which the given statement is true.... Problem 32PS: Use the unit circle to find all values of between 0 and 2 for which the given statement is true.... Problem 33PS Problem 34PS: Graph the unit circle using parametric equations with your calculator set to radian mode. Use a... Problem 35PS: Graph the unit circle using parametric equations with your calculator set to radian mode. Use a... Problem 36PS Problem 37PS Problem 38PS: Graph the unit circle using parametric equations with your calculator set to radian mode. Use a... Problem 39PS Problem 40PS Problem 41PS Problem 42PS Problem 43PS Problem 44PS Problem 45PS Problem 46PS Problem 47PS Problem 48PS: Graph the unit circle using parametric equations with your calculator set to degree mode. Use a... Problem 49PS: For Problems 49 through 56, use Figure 14, which shows the unit circle with increments of 0.1 units... Problem 50PS: For Problems 49 through 56, use Figure 14, which shows the unit circle with increments of 0.1 units... Problem 51PS Problem 52PS Problem 53PS Problem 54PS Problem 55PS: For Problems 49 through 56, use Figure 14, which shows the unit circle with increments of 0.1 units... Problem 56PS Problem 57PS: If angle is in standard position and the terminal side of intersects the unit circle at the point... Problem 58PS: If angle is in standard position and the terminal side of intersects the unit circle at the point... Problem 59PS: If t is the distance from (1,0) to (0.5403,0.8415) along the circumference of the unit circle, find... Problem 60PS: If t is the distance from (1,0) to (0.9422,0.3350) along the circumference of the unit circle, find... Problem 61PS Problem 62PS Problem 63PS: Identify the argument of each function. tan5 Problem 64PS Problem 65PS Problem 66PS Problem 67PS Problem 68PS Problem 69PS Problem 70PS Problem 71PS: Use a calculator to approximate each value to four decimal places. sin4 Problem 72PS Problem 73PS: Use a calculator to approximate each value to four decimal places. tan(45) Problem 74PS Problem 75PS Problem 76PS: Use a calculator to approximate each value to four decimal places. csc32 Problem 77PS Problem 78PS Problem 79PS: If we start at the point (1,0) and travel once around the unit circle, we travel a distance of 2... Problem 80PS Problem 81PS: Which of the six trigonometric functions are not defined at 0? Problem 82PS Problem 83PS Problem 84PS Problem 85PS Problem 86PS Problem 87PS Problem 88PS Problem 89PS Problem 90PS Problem 91PS Problem 92PS Problem 93PS Problem 94PS Problem 95PS Problem 96PS: Use the diagram shown in Figure 12 for the following exercises. Describe how cott varies as t... Problem 97PS Problem 98PS Problem 99PS Problem 100PS: The diagram of the unit circle shown in Figure 15 can be found on the Internet encyclopedia,... Problem 101PS Problem 102PS: The diagram of the unit circle shown in Figure 15 can be found on the Internet encyclopedia,... Problem 103PS Problem 104PS: The diagram of the unit circle shown in Figure 15 can be found on the Internet encyclopedia,... Problem 105PS: The diagram of the unit circle shown in Figure 15 can be found on the Internet encyclopedia,... Problem 106PS Problem 107PS: Problems 107 through 112 refer to right triangle ABC in which C=90. Solve each triangle. A=42, c=36 Problem 108PS Problem 109PS Problem 110PS Problem 111PS Problem 112PS Problem 113PS Problem 114PS: If angle is in standard position and the terminal side of intersects the unit circle at the point... Problem 115PS Problem 116PS: Which statement is possible for some real number z? sinz=2 secz=2 cot0=z csc=z Problem 36PS
Related questions
(a) What is the angle generated by P in time t?
(b) What is the distance traveled by P along the circle in time t?
(c) What is the linear speed of P?
Transcribed Image Text: Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed o. Complete parts (a) through (c) for the given values of r, w, and t.
r= 5 in., o =, radian per min, t= 12 min
.....
(a) What is the angle generated by P in time t?
0 = radians
(Simplify your answer. Type an exact answer, using t as needed. Use integers or fractions for any numbers in the expression.)
Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.
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