Exact Values of Trig Functions
Unit Circle
Pythagorean Theorem in the coordinate plane
Reference Angles
100

What is the exact value of: sin of 30 degrees

1/2

100

What is the length of the radius of the unit circle

1 unit

100
What is the tan of an angle that contains an endpoint of (3,4)?
4/3
100

What is the reference angles for 120 degrees?

60 degrees

or

pi/3 radians

200
What is the exact value of: sin pi/2
1
200

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

I and IV

200
What is the tan of an angle that contains an endpoint of (5,-3)?
-3/5
200

What is the reference angle for 300 degrees

60 degrees

or 

pi/3 radians 

300

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

0

300

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

I and II

300
What is the sin of an angle that contains an endpoint of (-8,15)?
15/17
300

The Reference angle for 240 degrees

60 degrees

or

pi/3 

400

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

√ 3/3 

or 

1/√ 3


400

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

(-√ 3/2,-1/2)

400

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

-√ 5/2

400

The Reference angle for -930 Degrees

30 degrees

or 

pi/6 radians

500

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

undefined


(because 1/0 is undefined ) 

500

what are the coordinates of the angle 15pi/4

(√ 2/2, -√ 2/2)

500

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

√ 34/5

500

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

30 degrees 

or 

pi/6 radians

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