Where is quadrant 1 located and what are its attributes?
-top right corner
-all values are positive
Where is quadrant 2 located and what are its attributes?
-top left corner
-cosine is negative
-sine is positive
Where is quadrant 3 located and what are its attributes?
-bottom left corner
-cosine is negative
-sine is negative
-tangent is positive
Where is quadrant 4 located and what are its attributes?
-bottom right corner
-cosine is positive
-sine is negative
What are the values cos(0) or cos(2pi) and sin(0) or sin(2pi)?
cos(0) or cos(2pi)=1
sin(0) or sin(2pi)=0
(1,0)
What are the three angle values found in quadrant 1?
- 30^o,pi/6
- 45^o,pi/4
- 60^o,pi/3
What are the three angle values found in quadrant 2?
- 120^o,(2pi)/3
- 135^o,(3pi)/4
- 150^o,(5pi)/6
What are the three angle values found in quadrant 3?
- 210^o,(7pi)/6
- 225^o,(5pi)/4
- 240^o,(4pi)/3
What are the three angle values found in quadrant 4?
- 300^o,(5pi)/3
- 315^o,(7pi)/4
- 330^o,(11pi)/6
What are the values cos(pi/2) and sin(pi/2)?
cos(pi/2)=0
sin(pi/2)=1
(0,1)
What are the values cos(pi/6) and sin(pi/6)?
cos(pi/6)=(sqrt(3))/2
sin(pi/6)=1/2
(sqrt(3)/2,1/2)
What are the values cos((2pi)/3) and sin((2pi)/3)?
cos((2pi)/3)=-1/2
sin((2pi)/3)=sqrt3/2
(-1/2,sqrt3/2)
What are the values cos((7pi)/6) and sin((7pi)/6)?
cos((7pi)/6)=-sqrt3/2
sin((7pi)/6)=-1/2
(-sqrt3/2,-1/2)
What are the values cos((5pi)/3) and sin((5pi)/3)?
cos((5pi)/3)=1/2
sin((5pi)/3)=-sqrt3/2
(1/2,-sqrt3/2)
What are the values cos(pi) and sin(pi)?
cos(pi)=-1
sin(pi)=0
(-1,0)
What are the values cos(pi/4) and sin(pi/4)?
cos(pi/4)=(sqrt(2))/2
sin(pi/4)=(sqrt(2))/2
(sqrt2/2,sqrt2/2)
What are the values cos((3pi)/4) and sin((3pi)/4)?
cos((3pi)/4)=-sqrt2/2
sin((3pi)/4)=sqrt2/2
(-sqrt2/2,sqrt2/2)
What are the values cos((5pi)/4) and sin((5pi)/4)?
cos((5pi)/4)=-sqrt2/2
sin((5pi)/4)=-sqrt2/2
(-sqrt2/2,-sqrt2/2)
What are the values cos((7pi)/4) and sin((7pi)/4)?
cos((7pi)/4)=sqrt2/2
sin((7pi)/4)=-sqrt2/2
(sqrt2/2,-sqrt2/2)
What are the values cos((3pi)/2) and sin((3pi)/2)?
cos((3pi)/2)=0
sin((3pi)/2)=-1
(0,-1)
What are the values cos(pi/3) and sin(pi/3)?
cos(pi/3)=1/2
sin(pi/3)=sqrt3/2
(1/2,sqrt3/2)
What are the values cos((5pi)/6) and sin((5pi)/6)?
cos((5pi)/6)=-sqrt3/2
sin((5pi)/6)=1/2
(-sqrt3/2,1/2)
What are the values cos((4pi)/3) and sin((4pi)/3)?
cos((4pi)/3)=-1/2
sin((4pi)/3)=-sqrt3/2
(-1/2,-sqrt3/2)
What are the values cos((11pi)/6) and sin((11pi)/6)?
cos((11pi)/6)=sqrt3/2
cos((11pi)/6)=-1/2
(sqrt3/2,-1/2)
An image of the unit circle.