unit circle memorization
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67 Terms
definition of a unit circle
a circle centered at (0,0) with radius 1, whose equation is x² + y² = 1.
what are the coordinates of this point
(1,0)
what is the quadrant of this coordinate
n/a; x-axis
what is the reference angle of this point
0
what is the quadrant of this point
quadrant one
what is the reference angle of this coordinate
π/6 (pi over six)
what are the coordinates of this point
(√3/2, 1/2)
what is the degree of this point?
30°
what is the quadrant of this point
quadrant one
what is the reference angle of this coordinate
π/4 (pi over four)
what are the coordinates of this point
(√2/2, √2/2)
what is the angle of this coordinate
45°
what quadrant is it
quadrant one
what is the reference angle
π/3 (pi over three)
what are the coordinates of this point
(1/2, √3/2)
what is the degree of this angle
60°
what quadrant is this in
n/a; y-axis
what is the reference angle of this point
π/2 (pi over two)
what are the coordinates of this point
(0,1)
what is the degree of this angle
90°
what quadrant is this coordinate in
quadrant two
what is the reference angle for this point
2π/3 (two pi over three)
what are the coordinates of this point
(-1/2, √3/2)
what is the degree of this angle
120°
what quadrant is the point in
quadrant two
what is the reference angle of this point
(-√2/2, √2/2)
what is the angle of this point
135°
what quadrant is this in
quadrant two
what is the reference angle of this point
5π/6 (five pi over six)
what are the coordinates of this point
(-√3/2, 1/2)
what is the angle of this point
150°
what is the quadrant of this point
n/a; x-axis
what is the reference angle of this point
π (pi)
what are the coordinates of this point
(-1,0)
what is the degree of this angle
180°
what is the quadrant of this point
quadrant three
what is the reference angle for this point
7π/6 (seven pi over six)
what are the coordinates of this point
(-√3/2, -1/2)
what is the degree of this angle
210°
what quadrant is this point in
quadrant three
what is the reference angle of this point
5π/4 (five pi over four)
what is the coordinate of this point
(-√2/2, -√2/2)
what is the degree of this angle
225°
what is the quadrant this angle is in
quadrant three
what is the reference angle of this point
4π/3 (four pi over three)
what are the coordinates of this point
(-1/2, -√3/2)
what is the degree of this angle
240°
what is the quadrant this point is in
n/a; y-axis
what is the reference angle of this point
3π/2 (three pi over two)
what is the coordinate of this point
(0,-1)
what is the degree of this angle
270°
what is the quadrant of this angle
quadrant 4
what is the reference angle of this point
5π/3 (five pi over three)
what are the coordinate of this point
(1/2, -√3/2)
what is the degree of this angle
300°
what quadrant is this point in
quadrant four
what is the reference angle of this point
7π/4
what are the coordinates of the point
(√2/2, - √2/2)
what is the degree of this angle
315°
what quadrant is this point in
quadrant four
what is the reference angle of this point
11π/6 (eleven pi over six)
what are the coordinates of this point
(√3/2, -1/2)
what is the degree of the angle of this point
330°
3π/4, 5π/4, 7π/4 all have a reference angle of what
π/4 (pi over four)
π/6, 5π/6, 7π/6, and 11π/6 all have a reference point of
π/6 (pi over six)
2π/3, 4π/3. 5π/3 all have a refernce angle of what
π/3 (pi over three)
π/2, 2π/2 (π), 3π/2 all have a reference angle of
π (pi)