The Unit Circle

Angles(degrees and radians)

100

Coterminal angle to (5\pi)/4 

-(3pi)/4 or -135^o

200

Reference Angle to -(11\pi)/6 

\pi/6 and 30^o

300

Reference angle to  (8\pi)/3 

\pi/3 and 60^o

400

Coterminal angle to  (7\pi)/2 

(3\pi)/2 and 270^o

500

True or False: (5\pi)/6 and  -(19\pi)/6 are coterminal angles. 

If true, which quadrant?

True, Quadrant 2

OriginalTrig Functions

100

cos((2\pi)/3)

-1/2

200

sin(-(\pi)/2)

-1

300

tan((2\pi)/3)

-sqrt(3)

400

sin((7\pi)/6)

-1/2

500

cos((5\pi)/2)

0

ReciprocalTrig Functions

100

cot((3\pi)/2)

0

200

csc((3\pi)/4)

sqrt(2)

300

sec((7\pi)/6)

(-2sqrt(3))/3

400

cot((5\pi)/4)

1

500

sec((4\pi)/3)

-2

Signs ofTrig Functions

100

The quadrant where

sin\theta>0 and tan\theta<0

Quadrant 2

200

The quadrant where

cos\theta>0 and sin\theta<0

Quadrant 4

300

The quadrant where

cot\theta>0 and csc\theta>0

Quadrant 1

400

The quadrant where

cos\theta<0 and cot\theta>0

Quadrant 3

500

The quadrant where

sin\theta<0 and sec\theta>0

Quadrant 4