4) Sketch the graphs of the following trigonometric functions for two full periods. a) y= - 4 sin ( - 3) b) y = 4 cos ( ; + " ) 5) A ship leaves port at noon and heads due west at 20 nautical miles per hour. At 2:00 pm, to avoid a storm, the ship changes course to 540 West of North. a) Find the ship's bearing and distance from the port of departure at 3:00 pm. b) Sketch a diagram to illustrate the situation above. 6) A plane leaves the airport on the bearing of 450 traveling at 400 mph. The wind is blowing at a bearing of 1350 at a speed of 40 mph. What is the actual velocity of the plane? 7) A ship leaves port on a bearing of 28 and travels 7.5 miles. The ship then turns due east and travels 4.1 miles. How far is the ship from port and what is its bearing? 8) In order to get across a river to a dock on time, a boat would have to row 65 upstream at 80km/hr if no current was present. If the current is 25 km/hr, what velocity and direction must the boat travel? 9) An airplane is heading due north at an airspeed of 700 km/h, but there is a wind blowing from the northeast at 60 km/h. a) How many degrees off course will the plane fly? b) What is the plane's speed relative to the ground? 10) The speed of a powerboat in still water is 47 kph. The powerboat heads directly west across the Messina River. The river flows northwest at 3.5 kph. Find the resulting speed and direction of the boat