Scavenger Hunt: Trig Ratios Review
Divide the class into pairs. Give each pair a problem to start with. Then let their answer choices guide them from
there.
Solutions:
1. b
2. a
3. b
4. c
5. a
6. c
7. a
8. b
9. b
10. b
11. c
12. a
13. a
14. c
15. b
1. Sketch the following angle. Be sure to notate the direction of the rotation.
a.
b.
c.
Middle Computer in Paris’Room
B-Hall Einstein Picture
Locker B-126
2. Sketch the following angle. Be sure to notate the direction of the rotation.
a.
Locker B-121
b.
c.
Tan File Cabinet in Paris’ Room
B-Hall Men’s Restroom Entrance
3. Find a positive angle less than 360 that is coterminal with the given angle.
a. 45
B-Hall Edison Picture
b. 315
c. 225
Red Cabinet in Paris’ Room
Left Main Hall Water Fountain
4. If possible, find the complement of the given angle.
a. 153
Office Side Classroom Door
b. 333
c. 63
B-Hall Einstein Picture
B-Hall Indian Mural
5. Convert the angle in degrees to radians. Do not convert to a decimal.
a.
 5
4
Far Right Computer in Paris’
Room
b.
 4
5
Locker B-131
c.
4
5
Main Hall Giant Arrowhead
6. Convert the angle in radians to degrees. Do not convert to a decimal.
a. 660
Right Main Hall Water Fountain
b. 165
c. 330
Locker B-136
Top Shelf of B-Hall Trophy Case
7. Evaluate the sine, cosine, and tangent of the angle without using a calculator.
3
2
1
cos  
2
tan    3
a. sin  
Green File Cabinet in Paris’ Room
1
2
3
cos  
2
 3
tan  
3
 3
2
1
cos  
2
3
tan  
3
b. sin  
c. sin  
B-Hall Bookroom on Right
Bottom Shelf of B-Hall Trophy
Case
8. Evaluate the sine, cosine, and tangent of the angle without using a calculator.
a. sin   0
cos  1
tan   0
Chalkboard Coordinate Plane
b. sin   1
cos  0
tan   undefined
c. sin   1
cos  0
tan   0
Guidance End Library Door
B-Hall Indian Mural
9. Evaluate the sine, cosine, and tangent of the angle without using a calculator.
2
2
2
cos  
2
a. sin  
tan   1
Left Main Hall Water Fountain
1
2
 3
cos  
2
3
tan  
3
b. sin  
c. sin  
Far Left Computer in Paris’ Room
Locker B-131
3
2
1
cos  
2
tan   3
10. A point on the terminal side of angle  is given. Find the exact value of all 6 trigonometric functions of .
(3,-2)
3 13
13
 2 13
cos 
13
2
tan  
3
13
csc  
3
 13
sec  
2
3
cot  
2
a. sin  
Main Hall Giant Arrowhead
 2 13
13
3 13
cos 
13
2
tan  
3
 13
csc  
2
13
sec  
3
3
cot  
2
3 5
5
2 5
cos  
5
2
tan  
3
5
csc  
3
 5
sec  
2
3
cot  
2
b. sin  
c. sin  
Chalkboard Circle Graph
B-Hall Edison Picture
11. Find the remaining five trigonometric functions of , satisfying the conditions.
;
4
5
3
cos  
5
5
csc  
4
5
sec  
3
3
cot  
4
a. sin  
Paris’ Name Plate
5
4
5
cos  
3
4
csc  
5
3
sec  
5
4
cot  
3
4
5
3
cos 
5
5
csc  
4
5
sec 
3
3
cot  
4
b. sin  
c. sin  
B-Hall Bookroom on Right
Locker B-136
12. Coach Paris wants to build a right triangle to set the corners of the football field. He has 3 pieces of wood
measuring 3ft, 4ft, and 5ft long. What angle would have to be between the 3ft piece of wood and the 5ft
piece of wood to guarantee that he has a right triangle?
a. 53.13
B-Hall Women’s Restroom
Entrance
b. 36.87
c. 30.96
B-Hall Side Classroom Door
Guidance End Library Door
13. Evaluate the sine, cosine, and tangent of the angle without using a calculator.
 2
2
 2
cos  
2
a. sin  
tan   1
B-Hall Bookroom Left Door
2
2
2
cos  
2
b. sin  
tan   1
Homework Board
 3
2
1
cos  
2
tan   3
c. sin  
Guidance End Library Door
14. Find the remaining five trigonometric functions of , satisfying the conditions.
csc  
5
; tan   0
3
4
5
3
cos 
5
4
tan  
3
5
sec  
3
3
cot  
4
a. sin  
B-Hall Women’s Restroom
Entrance
3
5
4
cos  
5
4
tan  
3
5
sec  
4
3
cot  
4
3
5
4
cos  
5
3
tan  
4
5
sec  
4
4
cot  
3
b. sin  
c. sin  
Office Side Classroom Door
C-Hall End Library Door
15. My bologna has a first name. It’s Leroy. Leroy wants to figure out how tall the Wienermobile is. He has a
45ft long rope tied to the top of the Wienermobile. When he pulls the rope tight, it touches the ground at an
angle of 14. So to the nearest foot, how tall is the Wienermobile?
a. 44 ft
Locker B-121
b. 11 ft
c. 186 ft
Coach Paris’ Name Plate
Tan File Cabinet in Paris’ Room
GO
BACK
Trig Ratios Scavenger Hunt: Record Sheet
No.
1.
2.
3.
4.
Work
Group Members:______________________________
Answer Choice
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.