Homework 10.1 Unit Circle
Name Section: 1 2 3 4 5 6 Date:
Draw the picture!
1.
45cos
2.
60sin
3.
30cos
4.
30sin
Find the given point P(x, y) = P( , ) given the quadrant.
(Hint: Draw the right triangle in the given quadrant with one leg on the x-axis.)
5.
60
in quadrant IV 6.
30
in quadrant II
7.
45
in quadrant III 8.
60
in quadrant I
Remember: = where and
9.
7
5
,
7
3
P
= _____
= _____
10.
2
1
,
2
3
P
= _____
= _____
11.
2
2
,
2
2
P
= _____
= _____
12.
17
8
,
17
15
P
= _____
= _____
Homework 10.2 Angles and Angle Measure
Name Section: 1 2 3 4 5 6 Date:
10.2 CONTINUED back side!
10.2 CONTINUED!!!
Homework 10.3 Trig Functions of General Angles
Name Section: 1 2 3 4 5 6 Date:
Use the unit circle!
10.3 continued on the back!
10.3 CONTINUED
Homework 10.2-3 Mixed Practice
Name Section: 1 2 3 4 5 6 Date:
Review from 10.2:
Find one positive and one negative angle coterminal with each given angle.
1) 1260˚ positive: __________ negative: ____________
2) -720˚ positive: __________ negative: ____________
3)
4
9
positive: __________ negative: ____________
4) Rewrite each degree measure in radians.
5) Rewrite each radian measure in degrees.
10.3 continued! Back side!
810
495
2
9
)5
4
15
)5
5)5
2
7
)5
dc
ba
10.3B continued!
Find the exact values of the following. Use the unit circle!
cos = _____ sin = _____ tan = _____
cos 900˚ = _____ sin 495˚ = _____ tan 405˚ = _____
cos
4
13
= _____ sin
2
7
= _____ tan = _____
cos 720˚ = _____ sin -540˚ = _____ tan 1080˚ = _____
2
15
4
2
5
Homework 10.3 Additional Practice, Exact Values
Name Section: 1 2 3 4 5 6 Date:
Exact Values: One more time!
cos 900˚ = _____ = _____ sin 810
o
= _____ tan 0˚ = _____
cos 990
o
= _____ sin 1080˚ = _____ cos 1020˚ = _____ tan 630˚ =_____
Draw the given angle. Use reference angles and the unit circle to find the exact values of:
cos 30
o
= _____ sin
6
= _____ sin 510
o
= _____ tan -60˚ = _____
cos 120
o
= _____ sin 420˚ = _____ cos 390˚ = _____ tan 30˚ = _____
cos
3
8
= _____ sin 225
o
= _____ cos 930˚ = _____ tan 45
o
= _____
Homework 10.4 Circular Functions
Name Section: 1 2 3 4 5 6 Date:
4a. Sine or Cosine?_________________
Justify your answer.
_______________________________________________________________________________
4b. What is the amplitude of the function above: ___________________
6. What is the period of each function?
ANSWERS
10.1
10.2
10.3
10.3B
10.2
10.3C
10.4
