587 CHAPTER 5 Review Exercises Chapter 5 Review Exercises 1. Give the measures of the complement and the supplement of an angle measuring 35°. Find the angle of least positive measure that is coterminal with each angle. 2. -51° 3. -174° 4. 792° Solve each problem. 5. Rotating Propeller The propeller of a speedboat rotates 650 times per min. Through how many degrees does a point on the edge of the propeller rotate in 2.4 sec? 6. Rotating Pulley A pulley is rotating 320 times per min. Through how many degrees does a point on the edge of the pulley move in 2 3 sec? Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 7. 119° 08′ 03″ 8. 47° 25′ 11″ 9. 275.1005° 10. -61.5034° Find the six trigonometric function values for each angle. Rationalize denominators when applicable. 11. x y 0 (1, –Ë3) U 12. x y 0 (–3, –3) U 13. x y 0 (–2, 0) U Find the values of the six trigonometric functions for an angle in standard position having each given point on its terminal side. Rationalize denominators when applicable. 14. 19, -22 15. 13, -42 16. 11, -52 17. 1-8, 152 18. A623, -6B 19. A -222, 222B An equation of the terminal side of an angle u in standard position is given with a restriction on x. Sketch the least positive such angle u, and find the values of the six trigonometric functions of u. 20. y = -5x, x … 0 21. 5x - 3y = 0, x Ú 0 22. 12x + 5y = 0, x Ú 0 Complete the table with the appropriate function values of the given quadrantal angles. If the value is undefined, say so. U sin U cos U tan U cot U sec U csc U 23. 180° 24. -90°
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