Unit Circle Jeopardy

First Quadrant

100

pi/6

((sqrt3)/2, 1/2)

200

pi/4

((sqrt2)/2, (sqrt2)/2)

300

pi/3

(1/2, (sqrt3)/2)

400

pi/2

(0, 1)

500

tan(theta)=1/sqrt3

theta = pi/6

Second Quadrant

100

120 degrees

(-1/2, (sqrt3)/2)

200

3pi/4

(-(sqrt2)/2, (sqrt2)/2)

300

5pi/6

(-(sqrt3)/2, 1/2)

400

pi

(-1, 0)

500

sin(theta) = 1/2

theta = 150 degrees

Third Quadrant

100

210

(-(sqrt3), -1/2)

200

5pi/4

(-(sqrt2)/2, -(sqrt2)/2)

300

4pi/3

(-1/2, -(sqrt3)/2)

400

3pi/2

(0, -1)

500

cos(theta) = 0

pi < theta < 2pi

theta = 3pi/2

Fourth Quadrant

100

300

(1/2, -(sqrt3)/2)

200

7pi/4

((sqrt2)/2, -(sqrt2)/2)

300

11pi/6

((sqrt3)/2, -1/2)

400

2pi

(1, 0)

500

sec(theta) = 2

theta = 5pi/3