Final: The Big Wheel
Part of the Trig Equations and Inverses section of Coddy's Trigonometry journey. Lesson 53 of 56.
A big wheel has a radius of 60 m and its centre 75 m above the ground. After a capsule turns x degrees from the bottom, it is h = 75 − 60cos(x) metres up. In one full turn, find when the capsule is 100 m up, each angle to two decimal places.
Challenge
The capsule is 100 m up when 75 − 60cos(x) = 100. Solve it for every x in [0°, 360°), each to two decimal places, and press Check.
Try it yourself
75 - 60cos(x) = 100
Solve for x
Test yourselfThis lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Trig Equations and Inverses
1Your First Trig Equations
One Equation, Two AnglesReading Signs on the CircleThe Reference AngleRecap: First Equations4Compositions
Draw the TriangleThe Outer FunctionA Negative InsideWhen Undoing Does Not UndoRecap: Compositions2Inverses and Their Ranges
Why arcsin Gives One AngleNegative Inputs to arcsinThe Range of arccosThe Range of arctanRecap: Inverse Ranges5Equations on a Domain
A Negative CosineTangent EquationsEquations in RadiansTwo Turns, Four AnswersRecap: On a Domain8Multiple Angles
Two Turns for 2xSolving sin 2xHalf AnglesEvery Solution of sin 3xRecap: Multiple Angles11Final Challenges
Final: The Bicycle PedalFinal: The Big WheelFinal: Every SolutionFinal: An Identity and MoreFinal: An Inverse Inside