Trigonometry (MindTap Course List)
8th Edition
ISBN: 9781305652224
Author: Charles P. McKeague, Mark D. Turner
Publisher: Cengage Learning
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Question
Chapter 6.4, Problem 43PS
To determine
To evaluate:
The parametric equation to the model of a rider and also graph it.
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I need to convert this into a cartesian equation.
Use parametric equations to model the path of a rider on the wheel. You want to end up with parametric equations that will give you the position of the rider every minute of the ride. Graph your results on a graphing calculator.
Ferris Wheel- A Ferris wheel named Colossus was built in St. Louis in 1986. It has a diameter of 165 feet and sits 9 feet above the ground. It rotates in a counterclockwise direction, making one complete revolution every 1.5 minutes. Place your coordinate system so that the origin of the coordinate system is on the ground 100 feet to the left of the wheel.
Use parametric equations to model the path of a rider on the wheel. You want to end up with parametric equations, using t, that will give you the position of the rider every minute of the ride. Graph your results on a graphing calculator.A Ferris wheel has a diameter of 185 feet and sits 11 feet above the ground. It rotates in a counterclockwise direction, making one complete revolution every 15 minutes. Place your coordinate system so that the origin of the coordinate system is on the ground below the bottom of the wheel.
x= _____________
y= _____________
Chapter 6 Solutions
Trigonometry (MindTap Course List)
Ch. 6.1 - Prob. 1PSCh. 6.1 - Prob. 2PSCh. 6.1 - Prob. 3PSCh. 6.1 - Prob. 4PSCh. 6.1 - Prob. 5PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 9PSCh. 6.1 - Prob. 10PS
Ch. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 12PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 14PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 18PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 20PSCh. 6.1 - Prob. 21PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 23PSCh. 6.1 - Prob. 24PSCh. 6.1 - Prob. 25PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 28PSCh. 6.1 - Prob. 29PSCh. 6.1 - Prob. 30PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 32PSCh. 6.1 - Prob. 33PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 35PSCh. 6.1 - Prob. 36PSCh. 6.1 - Prob. 37PSCh. 6.1 - Prob. 38PSCh. 6.1 - Prob. 39PSCh. 6.1 - Prob. 40PSCh. 6.1 - Prob. 41PSCh. 6.1 - Prob. 42PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 45PSCh. 6.1 - Prob. 46PSCh. 6.1 - Prob. 47PSCh. 6.1 - Prob. 48PSCh. 6.1 - Prob. 49PSCh. 6.1 - Prob. 50PSCh. 6.1 - Prob. 51PSCh. 6.1 - For each of the following equations, solve for (a)...Ch. 6.1 - Prob. 53PSCh. 6.1 - Prob. 54PSCh. 6.1 - Prob. 55PSCh. 6.1 - Prob. 56PSCh. 6.1 - Prob. 57PSCh. 6.1 - Prob. 58PSCh. 6.1 - Prob. 59PSCh. 6.1 - Prob. 60PSCh. 6.1 - Prob. 61PSCh. 6.1 - Prob. 62PSCh. 6.1 - Prob. 63PSCh. 6.1 - Prob. 64PSCh. 6.1 - Prob. 65PSCh. 6.1 - Prob. 66PSCh. 6.1 - Prob. 67PSCh. 6.1 - Prob. 68PSCh. 6.1 - Prob. 69PSCh. 6.1 - Prob. 70PSCh. 6.1 - Prob. 71PSCh. 6.1 - Prob. 72PSCh. 6.1 - Prob. 73PSCh. 6.1 - Prob. 74PSCh. 6.1 - Prob. 75PSCh. 6.1 - Prob. 76PSCh. 6.1 - Prob. 77PSCh. 6.1 - Prob. 78PSCh. 6.1 - Prob. 79PSCh. 6.1 - Prob. 80PSCh. 6.1 - Prob. 81PSCh. 6.1 - Prob. 82PSCh. 6.1 - Prob. 83PSCh. 6.1 - Prob. 84PSCh. 6.1 - Prob. 85PSCh. 6.1 - Prob. 86PSCh. 6.1 - Prob. 87PSCh. 6.1 - Prob. 88PSCh. 6.1 - Motion of a Projectile If a projectile (such as a...Ch. 6.1 - Motion of a Projectile If a projectile (such as a...Ch. 6.1 - Prob. 91PSCh. 6.1 - Prob. 92PSCh. 6.1 - Find the angle of elevation of a rifle barrel, if...Ch. 6.1 - Prob. 94PSCh. 6.1 - Write cos2A in terms of sinA only.Ch. 6.1 - Write cos2A in terms of cosA only.Ch. 6.1 - Prob. 97PSCh. 6.1 - Prob. 98PSCh. 6.1 - Prob. 99PSCh. 6.1 - Prob. 100PSCh. 6.1 - Prob. 101PSCh. 6.1 - Prove the identity sin2x=2tanx+cotx.Ch. 6.1 - Prob. 103PSCh. 6.1 - In solving cosx+2sinxcosx=0, which of the...Ch. 6.1 - Prob. 105PSCh. 6.1 - Prob. 106PSCh. 6.2 - For Question 1 through 4, fill in the blank with...Ch. 6.2 - Prob. 2PSCh. 6.2 - For Question 1 through 4, fill in the blank with...Ch. 6.2 - Prob. 4PSCh. 6.2 - Prob. 5PSCh. 6.2 - Solve each equation for if 0360. 2csc=2Ch. 6.2 - Prob. 7PSCh. 6.2 - Prob. 8PSCh. 6.2 - Prob. 9PSCh. 6.2 - Prob. 10PSCh. 6.2 - Solve each equation for if 0360. sec2tan=0Ch. 6.2 - Solve each equation for if 0360. csc+2cot=0Ch. 6.2 - Prob. 13PSCh. 6.2 - Prob. 14PSCh. 6.2 - Prob. 15PSCh. 6.2 - Solve each equation for if 0360. 2cos+1=secCh. 6.2 - Prob. 17PSCh. 6.2 - Prob. 18PSCh. 6.2 - Prob. 19PSCh. 6.2 - Prob. 20PSCh. 6.2 - Solve each equation for x if 0x2. Give your...Ch. 6.2 - Prob. 22PSCh. 6.2 - Prob. 23PSCh. 6.2 - Solve each equation for x if 0x2. Give your...Ch. 6.2 - Prob. 25PSCh. 6.2 - Prob. 26PSCh. 6.2 - Prob. 27PSCh. 6.2 - Solve each equation for x if 0x2. Give your...Ch. 6.2 - Prob. 29PSCh. 6.2 - Prob. 30PSCh. 6.2 - Prob. 31PSCh. 6.2 - Prob. 32PSCh. 6.2 - Prob. 33PSCh. 6.2 - Solve for if 0360. sin2+cos=1Ch. 6.2 - Prob. 35PSCh. 6.2 - Prob. 36PSCh. 6.2 - Prob. 37PSCh. 6.2 - Prob. 38PSCh. 6.2 - Prob. 39PSCh. 6.2 - Prob. 40PSCh. 6.2 - Prob. 41PSCh. 6.2 - Prob. 42PSCh. 6.2 - Prob. 43PSCh. 6.2 - Prob. 44PSCh. 6.2 - Prob. 45PSCh. 6.2 - Prob. 46PSCh. 6.2 - Prob. 47PSCh. 6.2 - Prob. 48PSCh. 6.2 - Prob. 49PSCh. 6.2 - Prob. 50PSCh. 6.2 - Solving the following equations will require you...Ch. 6.2 - Prob. 52PSCh. 6.2 - Prob. 53PSCh. 6.2 - Prob. 54PSCh. 6.2 - Prob. 55PSCh. 6.2 - Prob. 56PSCh. 6.2 - Prob. 57PSCh. 6.2 - Prob. 58PSCh. 6.2 - Prob. 59PSCh. 6.2 - Prob. 60PSCh. 6.2 - Prob. 61PSCh. 6.2 - Prob. 62PSCh. 6.2 - Prob. 63PSCh. 6.2 - Prob. 64PSCh. 6.2 - Prob. 65PSCh. 6.2 - Prob. 66PSCh. 6.2 - Prob. 67PSCh. 6.2 - Prob. 68PSCh. 6.2 - Prob. 69PSCh. 6.2 - Prob. 70PSCh. 6.2 - Prob. 71PSCh. 6.2 - Prob. 72PSCh. 6.2 - Prob. 73PSCh. 6.2 - Prob. 74PSCh. 6.3 - For Question 1 through 3, fill in the blank with...Ch. 6.3 - For Question 1 through 3, fill in the blank with...Ch. 6.3 - Prob. 3PSCh. 6.3 - Prob. 4PSCh. 6.3 - Prob. 5PSCh. 6.3 - Prob. 6PSCh. 6.3 - Prob. 7PSCh. 6.3 - Prob. 8PSCh. 6.3 - Prob. 9PSCh. 6.3 - Prob. 10PSCh. 6.3 - Find all solutions if 0x2. Use exact values only....Ch. 6.3 - Prob. 12PSCh. 6.3 - Prob. 13PSCh. 6.3 - Prob. 14PSCh. 6.3 - Find all solutions if 0x2. Use exact values only....Ch. 6.3 - Prob. 16PSCh. 6.3 - Prob. 17PSCh. 6.3 - Find all degree solutions for each of the...Ch. 6.3 - Prob. 19PSCh. 6.3 - Prob. 20PSCh. 6.3 - Prob. 21PSCh. 6.3 - Prob. 22PSCh. 6.3 - Prob. 23PSCh. 6.3 - Use your graphing calculator to find all degree...Ch. 6.3 - Prob. 25PSCh. 6.3 - Prob. 26PSCh. 6.3 - Prob. 27PSCh. 6.3 - Use your graphing calculator to find all degree...Ch. 6.3 - Prob. 29PSCh. 6.3 - Find all solutions in radians. Approximate your...Ch. 6.3 - Prob. 31PSCh. 6.3 - Prob. 32PSCh. 6.3 - Prob. 33PSCh. 6.3 - Prob. 34PSCh. 6.3 - Prob. 35PSCh. 6.3 - Prob. 36PSCh. 6.3 - Prob. 37PSCh. 6.3 - Prob. 38PSCh. 6.3 - Prob. 39PSCh. 6.3 - Find all solutions in radians using exact values...Ch. 6.3 - Prob. 41PSCh. 6.3 - Prob. 42PSCh. 6.3 - Find all solutions in radians using exact values...Ch. 6.3 - Prob. 44PSCh. 6.3 - Prob. 45PSCh. 6.3 - Prob. 46PSCh. 6.3 - Prob. 47PSCh. 6.3 - Prob. 48PSCh. 6.3 - Prob. 49PSCh. 6.3 - Prob. 50PSCh. 6.3 - Find all solutions in radians. Approximate your...Ch. 6.3 - Find all solutions in radians. Approximate your...Ch. 6.3 - Prob. 53PSCh. 6.3 - Prob. 54PSCh. 6.3 - Prob. 55PSCh. 6.3 - Prob. 56PSCh. 6.3 - Prob. 57PSCh. 6.3 - Find all solutions if 0360. When necessary, round...Ch. 6.3 - Prob. 59PSCh. 6.3 - Prob. 60PSCh. 6.3 - Prob. 61PSCh. 6.3 - Prob. 62PSCh. 6.3 - Prob. 63PSCh. 6.3 - Prob. 64PSCh. 6.3 - Ferris Wheel In example 6 of Section 4.5, we found...Ch. 6.3 - Ferris Wheel In Problem 37 of Problem Set 4.5, you...Ch. 6.3 - Geometry The following formula gives the...Ch. 6.3 - Geometry If central angle cuts off a chord of...Ch. 6.3 - Prob. 69PSCh. 6.3 - Prob. 70PSCh. 6.3 - Alternating Current The voltage of the alternating...Ch. 6.3 - Prob. 72PSCh. 6.3 - Oscillating Spring A mass attached to a spring...Ch. 6.3 - Prob. 74PSCh. 6.3 - Prob. 75PSCh. 6.3 - Prob. 76PSCh. 6.3 - Prob. 77PSCh. 6.3 - Prob. 78PSCh. 6.3 - Prob. 79PSCh. 6.3 - Prob. 80PSCh. 6.3 - Prob. 81PSCh. 6.3 - Prob. 82PSCh. 6.3 - Prob. 83PSCh. 6.3 - Solve sin4xcosx+cos4xsinx=1 for all radian...Ch. 6.3 - Prob. 85PSCh. 6.3 - The height of a passenger on a Ferris wheel at any...Ch. 6.4 - Prob. 1PSCh. 6.4 - For Question 1 through 6, fill in the blank with...Ch. 6.4 - For Question 1 through 6, fill in the blank with...Ch. 6.4 - For Question 1 through 6, fill in the blank with...Ch. 6.4 - Prob. 5PSCh. 6.4 - Prob. 6PSCh. 6.4 - Prob. 7PSCh. 6.4 - Prob. 8PSCh. 6.4 - Prob. 9PSCh. 6.4 - Graph the plane curve for each pair of parametric...Ch. 6.4 - Graph the plane curve for each pair of parametric...Ch. 6.4 - Graph the plane curve for each pair of parametric...Ch. 6.4 - Prob. 13PSCh. 6.4 - Prob. 14PSCh. 6.4 - Prob. 15PSCh. 6.4 - Prob. 16PSCh. 6.4 - Prob. 17PSCh. 6.4 - Prob. 18PSCh. 6.4 - Prob. 19PSCh. 6.4 - Prob. 20PSCh. 6.4 - Prob. 21PSCh. 6.4 - Prob. 22PSCh. 6.4 - Prob. 23PSCh. 6.4 - Prob. 24PSCh. 6.4 - Prob. 25PSCh. 6.4 - Prob. 26PSCh. 6.4 - Prob. 27PSCh. 6.4 - Prob. 28PSCh. 6.4 - Prob. 29PSCh. 6.4 - Prob. 30PSCh. 6.4 - Prob. 31PSCh. 6.4 - Prob. 32PSCh. 6.4 - Prob. 33PSCh. 6.4 - Prob. 34PSCh. 6.4 - Prob. 35PSCh. 6.4 - Prob. 36PSCh. 6.4 - Prob. 37PSCh. 6.4 - Prob. 38PSCh. 6.4 - Eliminate the parameter t in each of the...Ch. 6.4 - Prob. 40PSCh. 6.4 - Prob. 41PSCh. 6.4 - Prob. 42PSCh. 6.4 - Prob. 43PSCh. 6.4 - Prob. 44PSCh. 6.4 - Human Cannonball Graph the parametric equations in...Ch. 6.4 - Prob. 46PSCh. 6.4 - Prob. 47PSCh. 6.4 - Prob. 48PSCh. 6.4 - Prob. 49PSCh. 6.4 - Prob. 50PSCh. 6.4 - Prob. 51PSCh. 6.4 - Prob. 52PSCh. 6.4 - Prob. 53PSCh. 6.4 - Prob. 54PSCh. 6.4 - Prob. 55PSCh. 6.4 - Prob. 56PSCh. 6.4 - Prob. 57PSCh. 6.4 - Prob. 58PSCh. 6.4 - Prob. 59PSCh. 6.4 - Prob. 60PSCh. 6.4 - Prob. 61PSCh. 6 - Find all solutions in the interval 0360. If...Ch. 6 - Find all solutions in the interval 0360. If...Ch. 6 - Find all solutions in the interval 0360. If...Ch. 6 - Find all solutions in the interval 0360. If...Ch. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Find all solutions in the interval 0360. If...Ch. 6 - Find all solutions in the interval 0360. If...Ch. 6 - Find all solutions in the interval 0360. If...Ch. 6 - Find all solutions in the interval 0360. If...Ch. 6 - Find all solutions in the interval 0360. If...Ch. 6 - Prob. 13CTCh. 6 - Prob. 14CTCh. 6 - Prob. 15CTCh. 6 - Prob. 16CTCh. 6 - Prob. 17CTCh. 6 - Prob. 18CTCh. 6 - Prob. 19CTCh. 6 - Find all solutions, to the nearest tenth of a...Ch. 6 - Prob. 21CTCh. 6 - Prob. 22CTCh. 6 - Prob. 23CTCh. 6 - Use your graphing calculator to find all radian...Ch. 6 - Ferris Wheel In Example 6 of Section 4.5, we found...Ch. 6 - Prob. 26CTCh. 6 - Prob. 27CTCh. 6 - Prob. 28CTCh. 6 - Prob. 29CTCh. 6 - Ferris Wheel A Ferris wheel has a diameter of 180...Ch. 6 - Prob. 1GPCh. 6 - Prob. 2GPCh. 6 - Prob. 3GPCh. 6 - Prob. 4GPCh. 6 - Prob. 5GPCh. 6 - Prob. 6GPCh. 6 - Prob. 7GPCh. 6 - Prob. 1RPCh. 6 - Prob. 1CLTCh. 6 - Prob. 2CLTCh. 6 - Prob. 3CLTCh. 6 - Prob. 4CLTCh. 6 - Prob. 5CLTCh. 6 - Prob. 6CLTCh. 6 - Convert 14.65 to degrees and minutes.Ch. 6 - Prob. 8CLTCh. 6 - Prob. 9CLTCh. 6 - Prob. 10CLTCh. 6 - Prob. 11CLTCh. 6 - Prob. 12CLTCh. 6 - If an angle is in standard position, and the...Ch. 6 - Prob. 14CLTCh. 6 - Prob. 15CLTCh. 6 - Prob. 16CLTCh. 6 - Prob. 17CLTCh. 6 - Prob. 18CLTCh. 6 - Prob. 19CLTCh. 6 - Prob. 20CLTCh. 6 - Prob. 21CLTCh. 6 - Prob. 22CLTCh. 6 - Prob. 23CLTCh. 6 - Prob. 24CLTCh. 6 - Prob. 25CLTCh. 6 - Rewrite the expression 4sin7xcos3x as a sum or...Ch. 6 - Solve 2cos2cos1=0 for if 0360.Ch. 6 - Prob. 28CLTCh. 6 - Prob. 29CLTCh. 6 - Prob. 30CLT
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