Final: The Bicycle Pedal
Part of the Trig Equations and Inverses section of Coddy's Trigonometry journey. Lesson 52 of 56.
A bicycle's crank is 16 cm long and its axle is 30 cm above the ground. When the crank has turned x degrees from pointing straight back, the way it turns as you ride, the pedal is h = 30 + 16sin(x) centimetres up. Over one full turn, find every x where the pedal is 38 cm up.
Challenge
The pedal is 38 cm up when 30 + 16sin(x) = 38. Solve it for every x in [0°, 360°), then press Check.
Try it yourself
30 + 16sin(x) = 38
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