Materials: pencil, ruler, calculator, blank paper. Instructions: Questions may be answered in the space provided or on a separate sheet of paper. Show all work for full marks. 1. Calculate the measure of ZOSP, to the nearest tenth of a degree. [4] 6.2 3.9 m 34 S 2. A rescue helicopter flew from its home base for 35 km on a course of N30W to pick up an accident victim. It then flew 25 km west to the hospital. a. What distance will the helicopter have to fly to return to its home base? b. On what course will the helicopter have to fly to return to its home base? (Express answers to the nearest unit.) 3. Prove each identity. a) tan 0 sin 0 cos 0 = 1- cos2 9 tano b) = sino tan 0 + 1 4. Sketch the graph of y = -3 sin 4(x - 90) + 2. List the values of the following: a. Amplitude b. Minima/Maxima c. Asymptotes d. Axis of the Curve e. Zeros f. Period 5. The terminal arm of an angle in standard position rotates around the origin between 3 and 4 times. Using special triangles, find the following (if they exist) angles where sine = 0.5: a. the angle(s) b. the principal angles(s) c. the related angles (s) 6. . If f(x) = 2x - 7, find: a. f (3x + 2) b . f-1 ( x ) c. solve for x when f(x) =f-'(x)