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Algebra III Academic
Final Exam Review I
Final Review: All Trigonometry Topics
Right Triangle Trigonometry
Solve the triangles that follow.
1.
2.
59
12
8
x
5
x
3.
4.
10 cm
45
36 ft
60
Unit Circle Review
- Fill in your unit circle
5. Given x =
2
complete the following:
3
Sketch the angle and find the reference angle.
Find the six trigonometric functions of the angle.
sin  
csc  
cos  
sec  
tan  
cot 
a. Convert to degrees.
6. Given   135 complete the following:
a. Sketch the angle and find the reference angle.
b. Find the six trigonometric functions of the angle.
c. Convert to radians.
Trigonometry Review Problems
Find the value of the unknown or unknowns.
1.
2.
65
8 cm
x
x
24
y
7
Answer the following using the given angle.
3. Given x =
a. sin x =
7
find the following.
6
b. csc x =
4. Given x 
sin  
13
find the following.
4
csc  
cos  
sec  
tan  
cot 
Find the exact value of the following.
5. cot –330° = _____
6. csc –45°= _____
7. cos
7
= _____
4
8. csc
Graph the following.
11. y = 2sinx
12. y = -4 + cos 
13. Given  AHS, A = 27°, H = 109° and a = 120. Find h.
14. In  PQR, p = 3, q = 2 and R = 138°. Find r.
4
= _____ 9. sec 450°= _____
3
Evaluate the following using reference angles.
15. 20 sin 60 cos 240
17. sin

2
 6 cos

3
19. Find the area of  MAP if m = 6, a = 9, and p = 13.
20. Use the quadratic formula to solve x2 – 14x + 58 = 0
16. cos180 cos 45  sin 180 sin 45
18. cos 2
2
2
 sin 2
3
3