The Unit Circle

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(-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 = (___,___)

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?)


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