Now that we’ve learned about the graphs of trigonometric functions, we can apply our understanding of transformations of functions to transform trigonometric functions (particularly sine and cosine) to model period behaviour, like the tides, temperature, etc.
Try to complete the following questions before our next lesson (I suggest leaving the horizontal stretch until the end).
The London Eye is 15 m off the ground, and has a diameter of 120 m. The London Eye completes one revolution every 30 minutes.
- Develop a function to model the height of a passenger on the London Eye t minutes after boarding a capsule.
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How far above ground would passengers in a capsule be after
a. 10 minutes have passed?
b. 25 minutes have passed?