Circle and Angles

Which Quadrant?

100

-140 degrees

QIII

200

673 degrees

QIV

300

-5pi/3

QI

400

17pi/6

QII

Coterminal and Reference Angles

100

Positive angle coterminal with -55 degrees

305 degrees

200

Coterminal angle of 11 pi/3 in the interval 0 to 2pi

5 pi/3

300

Reference angle of 127 degrees

53 degrees

400

Reference angle of 5pi/4

pi/4

Radians and Degrees

100

36 degrees in radians 

pi/5

200

-405 degrees in radians

-9pi/4

300

17pi/12 in degrees

255

400

-7pi/15 in degrees

-84

Points, Circles, and Angles

100

y-coordinate of point on a unit circle with x coordinate 1/5

2 sqrt(6)/5

200

The terminal side of an angle intersects a circle of radius 5 in QII at the point (-3, ?)

4

300

The terminal side of a 60 degree angle intersects a circle of radius 2 at this point

(1, sqrt(3))

400

If the terminal side of an angle intersects a given circle at the point (4,3), at what point does it intersect a unit circle?

(4/5, 3/5)

Trig Functions

100

sin(5pi/6)

1/2

200

cos(-4pi/3)

-1/2

300

sin(13pi/6)

1/2

400

cos(14pi/3)

-1/2