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Review Test 1.2 Trig Ratios I. 1. Name______________ Convert from radians to degrees. Round to two decimal places. 11 3 2. II. 7 Convert from degrees to radians. Leave in reduced fractional form. 3. 130 4. 716 III. Find two coterminal angles, one positive and one negative, MAINTAIN THE SAME UNIT. 5. 512 IV. 7. 6. 5 7 State the quadrant or axis where each angle terminates. 11 12 8. 600 9. 5 2 10. 5.12 V. Give the exact simplified value. (No decimals and No calculators) 11. cos 2 3 16. sin 7 4 12. sin 210 17. cos 13. tan 5 6 11 6 18. 5 2 15. csc 225 14. cot 2 tan 240 19. sin VI. Evaluate the given trigonometric function for each quadrantal angle. (No decimals and No Calculators) 21. cos 3 20. sec 90 22. sin 270 23. cot 2 VII. Find the angle measure(s) for that make the statement true where (No Calculator) 24. cos VIII. 1 2 26. csc 2 25. cot is undefined 0 360 (DEGREES) 27. tan 1 28. cot 3 Use your calculator to find each of these to 4 decimal places. Watch your mode. 29. tan115 Solve Each: 33. A 126 foot ramp makes an angle of elevation of 18 with the ground. What is the vertical height of the highest point of the ramp? 30. sec 100 31. csc 4.12 7 32. cot 34. A surveyor wants to know the width of a river. From point A, he walks downstream 85 feet to point C. From this sighting, 72 from point C to point B. Point B is directly across the river from point A. How wide is the river? B w A IX. Right Triangle Trigonometry. 34. Find the 6 trigonometric values for given right triangle. in the 2 C 35. Find the 6 trigonometric function values for the angle in standard position if its terminal side contains the point 3 85 feet 8,15 . X. State the reference angle. Keep radians in radians and degrees in degrees. 37. 200 36. 250 XI. 39. 38. 3 4 Given the provided information, find the exact values of the other five trigonometric functions. cot 1 4 sin 0 sin csc cos sec tan XII. cot 1 4 Give the measure of an angle that has the given reference angle and that terminates in the designated quadrant. Keep radians in radians and degrees in degrees. 40. 60 terminates in Quadrant III 41. 4 terminates in 42. Quadrant II 5 terminates in Quadrant IV SOLUTIONS: 1. 660 2. -25.71 3. 13/18 4. -179/45 5. -152; 208 6. 19/7; -9/7 7. II 8. II 9. positive y-axis 10. IV 11. -1/2 12. -1/2 13. -3/3 14. 0 15. 2 16. -2/2 17. -3/2 18. 3 19. -1 20. undefined 21. -1 22. 1 23. 0 24. 120 or 240 25. 0 or 180 26. 30 or 150 27. 135 or 315 28. 150 or 330 29. -2.1445 30. -5.7588 31. -1.2054 32. -2.0765 33. 38.9 ft 34. 261.6 ft 34. sin =313/13 35. sin =15/17 36. 70 37. 20 38. /4 39. sin =417/17 40. 240 41. 3/4 42. 9/5 Complete answers can be found on the website: [email protected]