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Scholarship Algebra II Circular Trig Worksheet #6 The Other Trig Functions Name ____________________________________ Answer all questions on a separate sheet of paper. Show work and provide sketches where necessary. Find the value to four decimal places using your calculator. 1. tan 132° 5. cot 247.3° 9. tan 5.87R 2. sec 305° 6. csc 289.7° 10. csc 6.02R 3. csc 213° 7. sec 2.46R 11. cot 3.5R 4. tan 325° 8. cot 3.75R 12. sec 0.74R Find ∝ to the nearest tenth of a degree so that 0°≤∝≤90° 13. tan ∝ = 1.904 16. tan ∝ = 5.000 14. sec ∝ = 1.080 17. sec ∝ = 1.271 15. csc ∝ = 1.313 18. cot ∝ = 4. 372 Find ∝ to the nearest tenth of a degree so that ∝ lies in the given quadrant 19. IV: tan ∝ = -0.7265 22. II: cot ∝ = -0.3899 20. II: csc ∝ = 1.244 23. IV: csc ∝ = -2.572 21. III: sec ∝ = -1.108 24. III: tan ∝ = 8.000 Find the values of all six trigonometric functions of the angle whose terminal side passes through the given point. Give all answers as reduced fractions in simplified radical form. 25. (6, -8) 26. (-5, 12) 27. (0, -3) 29. (-2, 0) 30. (3, 6) 31. 2 6, 5 28. (-7, -24) 32. 4, 2 5 Find the values of the other five trigonometric functions of ∝ having the given information. Give all answers as reduced fractions in simplified radical form. 3 ; QIV 2 3 36. sec ; QIII 2 2 33. sin 1 39. tan ; QIII 5 1 ; QIII 2 7 37. csc ; QII 15 3 5 ; QII 40. cot 2 34. sin 5 ; QII 3 2 38. cos ; QIV 13 35. sin