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Name ______________________________ Review Unit Circle & Radians STUDY/Memorize the unit circle. Blank unit circles are on my webpage for your practice. 1. The radius of the unit circle is ______________ and the center is at ____________. 2. In an ordered pair, the x coordinate is the __________ of the angle, and the y-coordinate is the ____________ of the angle. 3. In which quadrant(s) would the sin θ be negative?___________ cos θ be negative?___________ 4. In which quadrant(s) would the tan θ be positive?___________ 5. The two units used to measure angles are _____________ and _______________. 6. Convert the following degrees to radians. 48° ________ 215° _______ 400° ______ 7. Convert the following radians to degrees. 9π/4 _______ 5π/12 _______ 3π/10 ______ Find the reference angles #8-12 8. 300° 9. 210° 10. 135° 11. 240° 12. 150° Find the exact value of the following: #13-18 13. sin 7 6 14. cos 11 6 15. tan 3 4 16. sin 90° 17. cos 120° 18. sin 225° Are the following positive, negative, or zero? #19-24 19. cos 222° 20. sin 184° 21. cos 140° 23.cos π 22. sin 272° 24. sin π/2 25. Which degree is at point (-1, 0) ? 26. For which two angles is cosθ = ½ ? 27. x = ______ 28. x = ______ 29. x = ______ A 30. x = ______ X A A 32 7 B x C B X 6 x 10 4 C B 62 C 6 4 31. Find the angle the 12 foot ladder makes with the ground if it is placed 8 feet from the house. 32. How tall is the tree ? 33. Find all missing sides. 45 30 22 76 45 5m 60 7 Answers Answers: 1) one, origin 2) cosine, sine 3) a) III, IV b) II, III 4) I, III 5) degrees, radians 6) 4 /15 , 43 /36, 20 /9 7) 405° , 75° , 54° 8) 60° 9) 30° 10) 45° 11) 60° 12) 30° 15) -1 16) 1 17) -1/2 18) 19) neg 20) neg 21) neg 22) neg 23) neg 24) pos 25) 180° 26) 60°& 300° 27) 44° 28) 7.52 29) 7.08 30) 56° 31) 48° 32) 20 m. 33) 7√3, 14 14) 3 /2 22, 22√2 13) -1/2 2 /2