Question 1- Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.
Part 1: How many radians does the minute hand move from 3:35 to 3:55? (Hint: Find the number of degrees per minute first.)
Part 2: How far does the tip of the minute hand travel during that time?
Question 2- Using complete sentences, explain the key features of the graph of the sine function.
Question 3- If sin(x) = ½, what is cos(x) and tan(x)? Explain your step in complete sentences.
Question 4- Functions f(x) and g(x) are shown below:
Using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum y-value.
Question 5 - What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of -1?
- f(x) = -1 cos πx + 2
- f(x) = -1 cos (x - π) + 2
- f(x) = 2 cos (x - π) - 1
- f(x) = 2 cos πx - 1