Ferris Wheel

Domingo’s Ride

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?

UNIT Circle

Translations of sine and cosine waves

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)

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.

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.

𝑠𝑖𝑛 2 (𝜃)+ 𝑐𝑜𝑠 2 (𝜃) = 1 A trigonometric identity

how can we see this identity represented in a…? Unit Circle Sine and Cosine waves Right Triangles Trig Table