Right Triangle Trig and the Unit Circle
Mrs. Esgar Period 4,5,6
Reminder: When doing problems from the book, please write out all problems and show work to receive
credit. Also, this is a tentative list of assignments and can change on very short notice.
Date
Lesson, Reading and
Notes
Assignment
Mon
Tuesday
Wed/Thurs
1/29&30
Cycle 56,34
No School: Too cold!
No School: Too Cold!
Go over Final Exam.
14.3 Right Triangles and
Trigonometric Ratios
Friday 1/31
Cycle 12
14.3 cont.
#2: p. 796 # 6, 7, 9 – 12, 18-20, 29,30,
37, 38, 39.
14.3 cont. –Applications
#3: p. 796 # 1,8, 27,31, 32, 35, 38,
42, 44, 54
Summarizing 14.3
13.2: Drawing angles.
#4: p.796 # 13, 14, 23.
p. 722 # 3,5,7,9, 30, 31, 45-49.
QUIZ: 14.3
#5: p. 722 #12-14, 17, 37, 38, 39
Monday
2/3
Cycle 100
Tuesday 2/4
Cycle 78
Wed/Thursday
Cycle 56 & 34
Friday 2/7
Cycle 12
13.2: Angles and the Unit Circle
Review Special Right Triangles
13.2 The Unit Circle cont.
#1: p. 796 #2-5, 21-26,28.
#6: Complete Unit Circle Chart,
p. 722 #21-29, 52, 60
Monday 2/10
13.3 Conversions to Radian
Measure
#7: p. 729 #1, 3, 5, 7-9, 31-41 odd
Tuesday 2/11
Cycle 78
Unit Circle mini quiz
#8: p. 729 # 2, 4, 8, 10, 21-25 odds,
32, 34, 38, 40
Wed/Thurs
2/12&13
Friday 2/14
Tying Radians and Degrees
together/Review
More Radian Measure
14.3 and 13.2-13.3 Unit
Circle Quest
#9: p. 828 #22-26
p. 771 # 8-17
#1: p. 796 # 2-5, 21-26, 28
5) 41.8
21) B
c2=(6.2)2+(8.1)2
c=10.2
8.1
A
6.2
8.1
6.2
A  52.6
tan A 
B  180  90  52.6  37.4
B
9.1
22)
9.12 = 4.32 + a2
a=8.0
A
23)
C
B
4.3
22
17
B  180  90  61.8  28.2
A
C
B
24)
17
22
A  50.6
sin A 
222 = 172 + a2
b=14.0
d
B  180  90  50.6  39.4


C
8
3
a2+9=64
a= 55
A
csc   
cos   
8
3
C
1200
3 55
55
cot   
55
3
8 55
sec   
55
tan   
55
8
d
1200
A
1500
b) tanA 
, A  51
1200
2000
c) tanA 
, A  59
1200
a) tan A 
B
25)
4.3
9.1
A  61.8
cos A 
B
26)
7

20
3 39
7 39
tan   
cot   
7
7
117
3 39
20 39
sin   
csc   
20
117
sec   
b2+49=400
b= 3 39
A
20
C
28)
7,24,25 triple
B

7
25
7
24
sin   
24
25
7
25
cos   
sec   
25
7
cot   
A
C
24
csc   
25
24
p. 796 # 6, 7, 9 – 12, 18-20, 29, 30, 37, 38, 39.
6) 25.2
7) 10.6
12) 74.3 degrees
9) 45 degrees
10) 18.4 degrees
11) 48.6 degrees
18) a  5 3
19) c  61
20) B= 53.1
A= 36.9
a=9
B  30
o
A  60o
29) sin    4
7
4 33
33
cot   
33
4
33
7 33
cos   
sec   
7
33
tan   
37) a  7.9 b  6.2 mB  38
38) a  3.9 c  6.9 mB  55.8
39) a  26.8 c  28.1 mA  72.8

B  50.2
A  39.8
30)
9
cos   
16
tan   
5 7
16
5 7
9 7
cot   
16
35
16 7
csc   
35
sin   
#3: p. 796 # 1,8, 27,31, 32, 35, 42, 44, 48, 54
27.
5
1
2 6
sin   
5
sec   
2 6
1
5 6
csc   
12
tan   
cot   
4
4 41
sin   
5
41
5 41
41
cos   
sec   
41
5
31. tan   
6
12
csc   
41
4
54. A
#4: p.796 # 13, 14, 23.
p. 722 # 3,5,7,9, 30, 31, 45-49.
13) 19.6o
14) 7.3o
23) a  195
A  50.6o
B  39.4
3) 240o
5) -110o
30) sin30o= 0.5
31) sin(-45o)= - 0.71
47) negative x axis.
cos30o= 0.87
cos(-45o) = 0.71
48) IV
45) II
46) III
49) positive x axis.
#5: p. 722 #12-14, 17, 37, 38, 39
12) 25o
13) 215o
38) -485o, 235o
14) 315o
17) 150o
37) 405o, -315o
39) -315o, 45o
p. 722 #21-29, 36, 52, 60
21.
0.50, -0.87
23.
0.87, -0.50
25.
22.
- 0.71, -0.71
24.
-0.50,0.87
26.
0.71, -0.71
0.87,0.50
28.
29.
-0.71,0.71
0.87, -0.50
27.
1.00,0.00
36.
0.00,1.00
52. The x-coordinate of the point on the ray defined by angle is equal to cos ; similarly
for the y-coordinate and sin . The terminal sides of the angles 08, 180°, and 360° lie on the
x-axis, and thus their sines are all 0 and their cosines are
1. The angles 90° and 270° lie on
the y-axis, so their cosines are 0 and their sines are 1 and - 1 respectively.
60. Answers may vary. Sample: 30°, 150°, -210°, 390°
p. 729 #1, 3, 5, 7-9, 31-41 odd
#8: p. 730 # 2, 4, 8, 10, 21-25 odds,
32, 34, 38, 40
2.
5
6
4. 

3
23. 8  25.1 inches
38.
8. 198
25.
10. -172o
55
 43.2 cm
4
 2
sin 
 3
 2
sin 
 3
  3

2

1


2

21.
10
 10.5 meters
3
32. II
40.
34. II
sin  2   0
sin  2   1
#9: p. 828 #22-26
22.
3
 0.6
5
23.
p. 771 # 8-17
4
 0.8
5
24.
4
 1.3
3
25.
26. 16, 36.9o
8) -225o
the rest of the answers are in the back of the book
9.5, 18.4o