591 CHAPTER 5 Test 11. 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 90° -360° 630° 12. If the terminal side of a quadrantal angle lies along the negative x-axis, which two of its trigonometric function values are undefined? 13. Identify the possible quadrant(s) in which u must lie under the given conditions. (a) cos u 70, tan u 70 (b) sin u 60, csc u 60 (c) cot u 70, cos u 60 14. Find the five remaining trigonometric function values of u if sin u = 3 7 and u is in quadrant II. 15. Find exact values of the six trigonometric functions for angle A in the right triangle. 5 13 12 A 16. Find the exact value of each variable in the figure. x z w y 4 45° 30° Find exact values of the six trigonometric functions for each angle. Rationalize denominators when applicable. 17. 240° 18. -135° 19. 990° Find all values of u, if u is in the interval 30°, 360°2 and has the given function value. 20. cos u = - 22 2 21. csc u = - 223 3 22. tan u = 1 Solve each problem. 23. How would we find cot u using a calculator, if tan u = 1.6778490? Evaluate cot u. 24. Use a calculator to approximate the value of each expression. Give answers to six decimal places. (a) sin 78° 21′ (b) tan 117.689° (c) sec 58.9041° 25. Find the value of u in the interval 30°, 90°4 in decimal degrees, if sin u = 0.27843196. Give the answer to six decimal places. 26. Solve the right triangle. 588 309 B a = 748 C b c A
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