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Aim: What are reference angles? MB43 11/21/08 Lomas Do Now: For each angle, estimate which quadrant. a.  θ = 145 o b.  θ  = 256 o c.  θ  = 309 o d.  θ  =  3 e.  θ  =  4 7 f.  θ  =  2 -3 cos  θ =  -1 3 Find the values for the other 5 trigonometric functions 1) 2) HW:  Read  651-660 Do 660-1 #9-29col,33-51col
Aim: What is the unit circle? MB43 11/10/08 Lomas 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 HW:  Read  614-621 Do 621 #1-7 Read  621-624 Do 624 #1,2,3,7,8
Aim: What is the unit circle? MB43 11/10/08 Lomas 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) HW:  Read  614-621 Do 621 #1-7 Read  621-624 Do 624 #1,2,3,7,8
Aim: What is the unit circle? MB43 11/10/08 Lomas What is theta? What are the six trigonometric functions of theta? HW:  Read  614-621 Do 621 #1-7 Read  621-624 Do 624 #1,2,3,7,8
Aim: What is the unit circle? MB43 11/10/08 Lomas Main Event: The Unit Circle HW:  Read  614-621 Do 621 #1-7 Read  621-624 Do 624 #1,2,3,7,8
Aim: What is the unit circle? MB43 11/10/08 Lomas HW:  Read  614-621 Do 621 #1-7 Read  621-624 Do 624 #1,2,3,7,8

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Reference Angles

  • 1. Aim: What are reference angles? MB43 11/21/08 Lomas Do Now: For each angle, estimate which quadrant. a. θ = 145 o b. θ = 256 o c. θ = 309 o d. θ = 3 e. θ = 4 7 f. θ = 2 -3 cos θ = -1 3 Find the values for the other 5 trigonometric functions 1) 2) HW: Read 651-660 Do 660-1 #9-29col,33-51col
  • 2. Aim: What is the unit circle? MB43 11/10/08 Lomas 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 HW: Read 614-621 Do 621 #1-7 Read 621-624 Do 624 #1,2,3,7,8
  • 3. Aim: What is the unit circle? MB43 11/10/08 Lomas 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) HW: Read 614-621 Do 621 #1-7 Read 621-624 Do 624 #1,2,3,7,8
  • 4. Aim: What is the unit circle? MB43 11/10/08 Lomas What is theta? What are the six trigonometric functions of theta? HW: Read 614-621 Do 621 #1-7 Read 621-624 Do 624 #1,2,3,7,8
  • 5. Aim: What is the unit circle? MB43 11/10/08 Lomas Main Event: The Unit Circle HW: Read 614-621 Do 621 #1-7 Read 621-624 Do 624 #1,2,3,7,8
  • 6. Aim: What is the unit circle? MB43 11/10/08 Lomas HW: Read 614-621 Do 621 #1-7 Read 621-624 Do 624 #1,2,3,7,8