Name: MHF4U - CULMINATING ASSIGNMENT 4. Sylvester is turning down the heat in his house by turning a dial on the wall counterclockwise. The height of a point on the circumference of the dial above the ground as a function of its total distance travelled is modelled by a sinusoidal function. Before Sylvester starts turning down the heat, the point is halfway between its highest and lowest points above the ground (4C) a. What does the amplitude of the sinusoidal function represent in this situation? b. What does the period of the sinusoidal function represent in this situation? c. If no horizontal translations were applied to the sinusoidal function, but a reflection in the x -axis was applied, was the sine function or the cosine function used? (Explain) - 120 5. Write each of the following expressions as a single trigonometric function and then evaluate. (6) a) sin - 47 + COs 15 ATT Cos - sin 15 tan 179" + tan 31" b) - 1 - tan 1790 tan 310 c) 2 cos2 19 7 - 1me: Omar MHF4U - CULMINATING ASSIGNMENT PART 2: Trigonometric, Exponential & Logarithmic Functions counterclockwise , Th notion of us to 1. Convert each of the following degree measures to radians. (2 K) a. -80 b. 260 b. c does the partedof the sinusoidal function rep. 2. Convert each of the following radian measurements to degrees (2 decimal places). (2 K) a. 217t 20 o horizontal translations were applied to the appiled, was the sing function of the cost b. 3. The trigonometric function y = sin x has undergone each of the following sets of transformations. For each set of transformations, determine the equation of the resulting function. (8C) a. reflection in the x-axis, vertical stretch by a factor of 35 b. vertical compression by a factor of 0.25, horizontal translation of 8 units to the left c. reflection in the y-axis, vertical translation of 21 units down d. horizontal stretch by a factor of 5, vertical translation of 7 units up