0 Are You Ready For This Course? PL Prologue: Principles Of Problem Solving P Prerequisites 1 Equations And Graphs 2 Functions 3 Polynomial And Rational Functions 4 Exponential And Logarithmic Functions 5 Trigonometric Functions: Right Triangle Approach 6 Trigonometric Functions: Unit Circle Approach 7 Analytic Trigonometry 8 Polar Coordinates And Parametric Equations 9 Vectors In Two And Three Dimensions 10 Systems Of Equations And Inequalities 11 Matrices And Determinants 12 Conic Sections 13 Sequences And Series 14 Counting And Probability A Geometry Review B Calculations And Significant Figures C Graphing With A Graphing Calculator Chapter5: Trigonometric Functions: Right Triangle Approach
5.1 Angle Measure 5.2 Trigonometry Of Right Triangles 5.3 Trigonometric Functions Of Angles 5.4 Inverse Trigonometric Functions And Right Triangles 5.5 The Law Of Sines 5.6 The Law Of Cosines 5.CR Chapter Review 5.CT Chapter Test 5.FOM Focus On Modeling: Surveying Section5.1: Angle Measure
Problem 1E: a The radian measure of an angle is the length of the __________ that subtends the angle in a... Problem 2E: A central angle is drawn in a circle of radius r, as in the figure below. a The length of the arc... Problem 3E: Suppose a point moves along a circle with radius r as shown in the figure below. The point travels a... Problem 4E: Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of... Problem 5E Problem 6E Problem 7E: 5-16 From Degrees to Radians Find the radian measure of the angle with the given degree measure.... Problem 8E Problem 9E Problem 10E: 5-16 From Degrees to Radians Find the radian measure of the angle with the given degree measure.... Problem 11E Problem 12E Problem 13E: 5-16 From Degrees to Radians Find the radian measure of the angle with the given degree measure.... Problem 14E Problem 15E Problem 16E: 5-16 From Degrees to Radians Find the radian measure of the angle with the given degree measure.... Problem 17E Problem 18E Problem 19E: 17-28 From Radians to Degrees Find the degree measure of the angle with the given radian measure. 56 Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E: 17-28 From Radians to Degrees Find the degree measure of the angle with the given radian measure. 10 Problem 26E Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E: 29-34 conterminal Angles The measure of an snaggle in standard position is given. Find two positive... Problem 32E Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E: 35-40 Conterminal Angles? The measures of two angles in standard position are given. Determine... Problem 38E Problem 39E Problem 40E Problem 41E Problem 42E Problem 43E: 41-46 Finding a Coterminal angle Find the angle between 0 and 360 that is coterminal with given... Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E: 47-52 Finding a Coterminal Angle Find an angle between 0 and 2 that is coterminal with given angle.... Problem 50E Problem 51E Problem 52E Problem 53E: 53-62 Circular Arcs Find the length s of the circular arc, the radius r of the circle, or the... Problem 54E Problem 55E: 53-62 Circular Arcs Find the length s of the circular arc, the radius r of the circle, or the... Problem 56E Problem 57E Problem 58E Problem 59E Problem 60E Problem 61E: 53-62 Circular Arcs Find the length s of the circular arc, the radius r of the circle, or the... Problem 62E Problem 63E Problem 64E: 63-70 Area of a Circular Sector. These exercises involve the formula for the area of a circular... Problem 65E Problem 66E Problem 67E: 63-70 Area of a Circular Sector. These exercises involve the formula for the area of a circular... Problem 68E Problem 69E Problem 70E: The area of a circle is 600m2. Find the area of a sector of this circle that subtends a central... Problem 71E: Area of a Sector of a Circle Three circles with radii 1, 2 and 3 ft are externally tangent to one... Problem 72E: Comparing a Triangle and a Sector of a Circle Two wood sticks and a metal rod, each of length, are... Problem 73E: 73-74 Clocks and Angles In 1 h the minute hand on a clock moves through a complete circle, and the... Problem 74E: 73-74 Clocks and Angles In 1 h the minute hand on a clock moves through a complete circle, and the... Problem 75E: Travel Distance A cars wheels are 28 in. in diameter. How far in mi. will the car if its wheels... Problem 76E: Wheel Revolutions How many revolutions will a car wheel of diameter 30 in. make as the car travels a... Problem 77E: Latitudes Pittsburgh, Pennsylvania, and Miami, Florida, lie approximately on the same meridian.... Problem 78E Problem 79E: Orbit of the earth Find the distance that the earth travels in one day in its path around the sun.... Problem 80E: Circumference of the Earth The Greek mathematician Eratosthenes ca.276-195 B.C. measured the... Problem 81E Problem 82E Problem 83E: Windshield Wipers The top and bottom ends of a windshield wiper blade are 34in. and 14in.,... Problem 84E Problem 85E: Fan A ceiling fan with 16-in. blades rotates at 45rpm. a Find the angular speed of the fan in... Problem 86E Problem 87E: Which A winch of radius 2 ft is used to lift heavy loads. If the winch makes 8 revolutions every 15... Problem 88E Problem 89E: Speed at the Equator The earth rotates about its axis once every 23h 56 min 4s, and the radius of... Problem 90E Problem 91E: Speed of a Current To measure the speed of a current, scientists place paddle wheel in the stream... Problem 92E: Bicycle Wheel The sprockets and chain of a bicycle are shown in the figure. The pedal sprocket has a... Problem 93E Problem 94E Problem 95E Problem 4E: Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of...
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Vector Applications
Transcribed Image Text: 5. A ball is thrown with an initial velocity of 70 feet per second, at an angle of 40° with the horizontal. Find the
vertical and horizontal components of the velocity.
70
40°
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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