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Name______________________________ Date: _________________ Block: _______ Mrs. Mistron Evaluate the six trig functions of the angle . sin 1. 4. cos cos tan tan csc csc sec sec cot cot 2. sin 5. sin sin cos cos tan tan csc csc sec sec cot cot Let be an acute angle of a right triangle. Find the values of the other five trigonometric functions of . 7. sin 5 6 8. csc 10 7 9. tan 7 3 Find the exact values of x and y. 13. 14. 15. Given the point on the terminal side of θ, evaluate the six trig functions of θ. 16. 8, 15 17. 2, 2 18. 7, Solve triangle ABC using the diagram and the given measurements. 16. 24 17. The Falls Incline Railway at Niagara Falls has an angle of elevation of 36º. The railway extends a horizontal distance of about 138 feet. Find the height and length of the railway tracks. 18. A passenger on an airplane sees two towns directly to the left of the plane. (a) What is the distance d from the airplane to the first town? (b) What is the horizontal distance x from the airplane to the first town? (c) What is the distance y between the two towns? 19. You measure the angle of elevation from the ground to the top of a building as 32º. When you move 50 meters closer to the building, the angle of elevation is 53º. How high is the building? Sketch the angle then find its reference angle. 1. 100 2. 150 3. 15 4. 320 5. 370 6. 600 8 3 7. 5 6 8. 10. 13 6 11. 7 3 9. 15 4 12. 23 6 Find one positive and one negative angle that is coterminal with the given angle. 13. 260 16. 9 2 14. 70 17. 7 6 15. 820 18. 20 3 Convert the following angles from degrees to radians. 19. 40 20. 315 21. 260 22. 500 23. 270 24. 240 Convert the following angles from radians to degrees. 27. 5 25. 26. 9 4 28. 11 6