Test #4 Trigonometric Functions Show all your work! 1. Awheel is rotating at a speed of 12 revolutions per 3 minutes. If the diameter of the wheel is 75 cm, find its angular velocity in radians / second, and find out how far can the wheel travel after 5 minutes. 2. Find the equations of the following graph in terms of sine and cosine: (The phase shift could be approximated) 10 3. What graph will you get after applying the following transformations to y = sin x? Write the equation of the new graph 1 - Vertical compression by the factor of 3 - Horizontal stretch by the factor of 2 - Vertical translation by 2 units down F2 - Horizontal translation 4 left 4. 1f sec =2, Determine the exact values of: a. sinf D . 5 1 e values of 9 1:26 X Test #4 Trigono... 3. What graph will you get after applying the following transformations to y = sin x? Write the equation of the new graph Vertical compression by the factor of 3 Horizontal stretch by the factor of 2 Vertical translation by 2 units down Horizontal translation 4 left 4. If sec 0 = 2, Determine the exact values of: a. sin 0 b. tan 0 c. Possible values of 2 5, A 100 m tall skyscraper, sways 55 cm back and forth from "the vertical" during high winds. At t = 5 s, the building is 55 cm to the right of vertical. The building sways back to the vertical and, at t = 35 s, the building sways 55 cm to the left of the vertical. a) Write an equation that models the motion of the building in terms of time. b) Find the time(s) when the tip of the skyscraper is 20 cm to the left of the vertical (for the first cycle)