Sinusoidal Functions

1. Convert the following into degrees to the nearest degree: a) 5x/6 b) 10.5 radians 2. Convert the following into radians in terms of it. a) 270' b) 105" 3. a. Find the equation of the following graph: N b. Find the a, d, period, maximum and minimum values of the graph below. WMA 4. Draw at least one period of a sinusoidal graph with these properties: a) The period is 3x; The amplitude is 2; A maximum value is (x, 0) b) A maximum is at (3, 0); A minimum is at (11, -8) Use a Graphing Calculator for the questions below (5,6). 5. A Ferris wheel is pictured at the right. A complete ride takes 6 minutes. a) Find an equation that models the height of a passenger on the wheel if they start at the lowest point. b) What will be the height of a passenger after 2.5 minutes? 6. The number of customers at a coffee shop varies according to the equation N= 25 sin [/2 (t+1)] +40, where N is the number of customers and t represents the time, measured in hours. Time starts at midnight. a) How many customers will there be at 10 am? b) State a time there will be 50 customers. c) What is the period for this sinusoidal model