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Ferris Wheel
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Domingo’s Ride
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Domingo gets on at point A
Domingo rides the Ferris wheel at the fair. It has a radius of 36 feet. When Domingo gets on the Ferris wheel it is 4 feet above the ground. How far above the ground is Domingo at each point on the Ferris wheel?
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UNIT Circle
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Translations of sine and cosine waves
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Translate cos(𝜃) into the following
f(x) = - cos(𝜃) f(x) = cos(-𝜃) f(x) = cos(𝟐𝜃) f(x) = cos(𝜃/2) f(x) = 5cos(𝜃) f(x) = cos(𝜃) +10 f(x) = - cos(𝜃 - 90)
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When the term inside the brackets gets divided by 2 the cosine wave gets stretched by a factor of two. I can generalize that the divisor when inside the brackets will stretch my wave by the factor it divides by.
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Graphing sine and cosine
Can you write a function that represents Domingo’s place on the wheel as a function of time? Use sin or cosine (x) - not both, then translate your equation to fit the graph.
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𝑠𝑖𝑛 2 (𝜃)+ 𝑐𝑜𝑠 2 (𝜃) = 1 A trigonometric identity
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how can we see this identity represented in a…?
Unit Circle Sine and Cosine waves Right Triangles Trig Table
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