The Unit Circle
(-1,0)
180° π (point)
90° π/2
(0,1) (degrees & radians)
60° π/3
(1/2,√3/2) (degrees & radians)
45° π/4
(√2/2, √2/2) (degrees & radian)
30° π/6
(√3/2, 1/2) (degrees & radian)
(1,0)
0° 0 Rad (point)
(0,1)
270° 3π/2 (point)
120°
2π/3 (-1/2, √3/2) (degrees?)
(1,0)
360° 2π (point)
135°
3π/4 (-√2/2, √2/2) (degrees?)
150°
5π/6 (-√3/2, 1/2) (degrees?)
All
Positive in Quadrant 1?
Sin CSC
Positive in Quadrant 2?
Tan CoT
Positive in Quadrant 3?
Cos Sec
Positive in Quadrant 4?
Unit Circle
The ____ _____ is a circle whose radius is 1 and whose center is at the origin of a rectangular coordinate system.
Cosine
The _____ function takes as input a real number t that corresponds to a point P(x,y) on the unit circle and outputs the X-coordinate.
2πr
The formula for the circumference C of a circle of radius r is C = __ ___ ___ .
0,1
The point on the unit circle that corresponds to π/2 = 90 degrees is P = (___,___)
2π
The unit circle (radius =1) has a circumference of length ___ ____.
Sin
____ θ = y
Cos
____ θ=x
Tan
____ θ=y/x
Sec
______ θ= 1/x
Cot
______ θ= x/y
CSC
_______ θ=1/y
Radian
if the radius of a circle is r and the length of the arc subtended by the central angle is also r, then the measure of of the angle is 1 __________.
180°
π (-1,0) (degrees?)
