Trigonmetric Functions in the Unit Circle

Exact Values of Trig Functions

100

What is the exact value of: sin of 30 degrees

1/2

200

What is the exact value of: sin pi/2

1

300

What is the exact value of: tan(pi)?

0

400

What is the exact value of tan 19pi/6?

√ 3/3 

or 

1/√ 3

500

What is the exact value of sec -pi/2?

undefined

(because 1/0 is undefined ) 

Unit Circle

100

What is the length of the radius of the unit circle

1 unit

200

What two quadrants can contain an angles that has a cos of positive 1/2?

I and IV

300

What two quadrants can contain an angles that has a sin of 1/2?

I and II

400

What are the coordinates (x value, y value) of the angle 7pi/6?

(-√ 3/2,-1/2)

500

what are the coordinates of the angle 15pi/4

(√ 2/2, -√ 2/2)

Pythagorean Theorem in the coordinate plane

100

What is the tan of an angle that contains an endpoint of (3,4)?

4/3

200

What is the tan of an angle that contains an endpoint of (5,-3)?

-3/5

300

What is the sin of an angle that contains an endpoint of (-8,15)?

15/17

400

What is the csc of an angle that contains an endpoint of (-1,-2)?

-√ 5/2

500

What is the sec of an angle that contains an endpoint of (5,-3)?

√ 34/5

Reference Angles

100

What is the reference angles for 120 degrees?

60 degrees

or

pi/3 radians

200

What is the reference angle for 300 degrees

60 degrees

or 

pi/3 radians 

300

The Reference angle for 240 degrees

60 degrees

or

pi/3 

400

The Reference angle for -930 Degrees

30 degrees

or 

pi/6 radians

500

The Reference angle for -35pi/6 radians in degrees?

30 degrees 

or 

pi/6 radians