564 CHAPTER 5 Trigonometric Functions 1. Find the measure of (a) the complement and (b) the supplement of an angle measuring 19°. Chapter 5 Quiz (Sections 5.1–5.3) U sinU cos U tanU cot U sec U csc U 30° 45° 60° 10. Area of a Solar Cell A solar cell converts the energy of sunlight directly into electrical energy. The amount of energy a cell produces depends on its area. Suppose a solar cell is hexagonal, as shown in the figure on the left. x h x u u Express its area in terms of sinu and any side x. (Hint: Consider one of the six equilateral triangles from the hexagon. See the figure on the right.) (Data from Kastner, B., Space Mathematics, NASA.) Find the measure of each unknown angle. 2. (3x + 5)° (5x + 15)° 3. (5x – 1)° (2x)° Solve each problem. 4. Perform each conversion. (a) 77° 12′ 09″ to decimal degrees (b) 22.0250° to degrees, minutes, seconds 5. Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. (a) 410° (b) -60° (c) 890° (d) 57° 6. Rotating Flywheel A flywheel rotates 300 times per min. Through how many degrees does a point on the edge of the flywheel move in 1 sec? 7. The terminal side of an angle u in standard position passes through the point 1-24, 72. Find the values of the six trigonometric functions of u. 8. Find exact values of the six trigonometric functions for angle A in the right triangle. A 24 40 32 9. Complete the table with exact trigonometric function values.
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