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Name:Date:School: Facilitator: 10.03 The Unit Circle Read each question carefully and fill-in your answer. 1.What are the three most common angles to use a reference angles? 2.What is the radian measure for 45°? 3.What is the degree measure for6 ? 4.Within the unit circle, which direction will produce negative angles? 5.Within the unit circle, which direction will produce positive angles? Determine the correct signs for cosine and sine in each quadrant.Fill-in the space provided with “pos” for positive or “neg” for negative. 6.First Quadrant:sine:cosine: 7.Second Quadrant: sine:cosine: 8.Third Quadrant:sine:cosine: 9.Fourth Quadrant:sine:cosine: Fill-in the space provided with your work for each question. 10.Explain why22 cos, sin, 22 for 45°. Include a drawing if necessary.
11.Complete the unit circle below. Enter your answers in the textboxes provided.
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Unformatted text preview:° 360° 90° 180 ° 270° x y45° or 60° or 150° or 135° or 120° or 90° or 180° or 30° or Degrees =Radians = Degrees =Radians = Degrees =Radians = Degrees =Radians = Degrees =Radians = Degrees =Radians = Degrees =Radians = 12. Complete the unit circle below with the coordinates for the third and fourth quadrants. Use the bank of coordinates to complete the coordinates on the circle. Coordinates: Coordinates: Coordinates: Coordinates: Coordinates: Coordinates: Coordinates: Coordinates: Coordinates: ( 1 2 , ( √ 2 2 , (1,0) ( − √ 3 2 (-1,0) (0,-1)( √ 3 2 , ( − √ 2 2 , (0,1) ( − 1 2 , ( √ 2 2 ,√ 2 2 ) ( 1 2 , √ 3 2 ) ( − √ 2 2 , √ 2 2 ) ( − √ 3 2 , 1 2 ) ( √ 32 , 1 2 ) ( − 1 2 , √ 3 2 ) 30° 45° 60° 0° 135° 90° 315°330°300°360°120°225° 210 150°180°240° 270° Coordinates: