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Algebra II WS 310 Name_______________________________ Date____________________Period______ Find the reference angle for each angle given. 1. 305 2. 55 4. 100 168 3. 12 80 163 5. 17 280 425 6. 80 65 Find the exact values of the six trigonometric functions of side of in standard form. 7. sin 5 5 10. csc 5 given the point (-4, 2) on the terminal 8. cos 2 5 5 9. tan 1 2 11. sec 5 2 12. cot 2 Find the exact values of the sine, cosine, and tangent functions of each angle. 210 30 ) ( III 135 ( II 45 ) 13. sin 1 2 16. sin 2 2 14. cos 3 2 17. cos 2 2 15. tan 3 3 18. tan 1 300 19. sin 20. cos 21. 25. tan 90 ( I 60 ) 3 2 1 2 3 22. sin 1 23. cos 0 24. tan undefined A cement patio is to be made in the shape of a right triangle with a hypotenuse of 30 feet. If the two legs of the right triangle are to be equal, find all the side and angle measures for the patio. mA 45 mA B 30 feet mB 45 mA C 15 2 feet mC 90 mC B 15 2 feet 2 2 2 26. Quadrant IV, sin , find tan . 5 21 -----------------------------------------------------------------------------------------------------------tan WRITE THE WORD TRUE OR FALSE IN EACH BLANK. CORRECT THE FALSE. ______true ________27. ______true ________28. In quadrant four, the cosine of a reference angle is always positive. A reference angle is always a positive acute angle. ______true ________29. sin 30 = cos 60 _____false ________30. In a 30-60-90 right triangle, the shortest leg of the triangle is equal to half of the hypotenuse. (3x – 5)2 = 9x2 – 30x + 25 _____false_________ 31. SOLVE THE FOLLOWING TRIANGLES: ROUND SIDES TO THE NEAREST TENTH AND ROUND ANGLES TO THE NEAREST DEGREE. A 35.2 ft. B B 17 135.1 cm A 98.4 cm C C 10.8 feet 35. mBC 92.6 cm 33. mAC 36.8 feet 36. mA 43 34. C 37. mB 47 32. mBC 73 38. A ski slope is 580 meters long with a vertical drop of 150 meters. At what angle does the skier descend? sin 150 580 The skier descends at about a 15 .