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Aim: What is the unit circle? Do Now: Find x and y 1 30 o x y MB43 4/21/09 Lomas HW:  R ead  614-621 Do 621 #1-7 R ead  621-624 Do 624 #1,2,7,8
Aim: What is the unit circle? For each angle, estimate where and which quadrant it is located on the unit circle. a.  θ = 125 o b.  θ  = 240 o c.  θ  = 329 o d.  θ  =  6 e.  θ  =  4 5 f.  θ  =  2 -1 MB43 4/21/09 Lomas HW:  R ead  614-621 Do 621 #1-7 R ead  621-624 Do 624 #1,2,7,8
Aim: What is the unit circle? The Unit Circle every point on the circle is ONE UNIT away from the cente r x y P(x,y)  or  P(cos θ, sin θ) θ (1,0) (-1,0) (0,1) (0,-1) MB43 4/21/09 Lomas HW:  R ead  614-621 Do 621 #1-7 R ead  621-624 Do 624 #1,2,7,8
Aim: What is the unit circle? MB43 4/21/09 Lomas Cosine is the x Sine is the y Tangent is  or  y x sin cos In which quadrants is each function positive? HW:  R ead  614-621 Do 621 #1-7 R ead  621-624 Do 624 #1,2,7,8
Aim: What is the unit circle? MB43 4/21/09 Lomas All Students Take Calculus HW:  R ead  614-621 Do 621 #1-7 R ead  621-624 Do 624 #1,2,7,8
Aim: What is the unit circle? MB43 4/21/09 Lomas What is the sin 90 o ? HW:  R ead  614-621 Do 621 #1-7 R ead  621-624 Do 624 #1,2,7,8
Aim: What is the unit circle? MB43 4/21/09 Lomas HW:  R ead  614-621 Do 621 #1-7 R ead  621-624 Do 624 #1,2,7,8

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Unit Circle

  • 1. Aim: What is the unit circle? Do Now: Find x and y 1 30 o x y MB43 4/21/09 Lomas HW: R ead 614-621 Do 621 #1-7 R ead 621-624 Do 624 #1,2,7,8
  • 2. Aim: What is the unit circle? For each angle, estimate where and which quadrant it is located on the unit circle. a. θ = 125 o b. θ = 240 o c. θ = 329 o d. θ = 6 e. θ = 4 5 f. θ = 2 -1 MB43 4/21/09 Lomas HW: R ead 614-621 Do 621 #1-7 R ead 621-624 Do 624 #1,2,7,8
  • 3. Aim: What is the unit circle? The Unit Circle every point on the circle is ONE UNIT away from the cente r x y P(x,y) or P(cos θ, sin θ) θ (1,0) (-1,0) (0,1) (0,-1) MB43 4/21/09 Lomas HW: R ead 614-621 Do 621 #1-7 R ead 621-624 Do 624 #1,2,7,8
  • 4. Aim: What is the unit circle? MB43 4/21/09 Lomas Cosine is the x Sine is the y Tangent is or y x sin cos In which quadrants is each function positive? HW: R ead 614-621 Do 621 #1-7 R ead 621-624 Do 624 #1,2,7,8
  • 5. Aim: What is the unit circle? MB43 4/21/09 Lomas All Students Take Calculus HW: R ead 614-621 Do 621 #1-7 R ead 621-624 Do 624 #1,2,7,8
  • 6. Aim: What is the unit circle? MB43 4/21/09 Lomas What is the sin 90 o ? HW: R ead 614-621 Do 621 #1-7 R ead 621-624 Do 624 #1,2,7,8
  • 7. Aim: What is the unit circle? MB43 4/21/09 Lomas HW: R ead 614-621 Do 621 #1-7 R ead 621-624 Do 624 #1,2,7,8