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Trig/Precalculus
Section 5.1 – 5.8 Pre-Test

1.
2.
For an angle in standard position,
determine a coterminal angle that is
between 0 o and 360 o. State the
quadrant in which the terminal side lies.
–345 o ______
630 o _______

1.
2.
For an angle in standard position,
determine a coterminal angle that is
between 0 o and 360 o. State the
quadrant in which the terminal side lies.
–345 o ______
15o Q I
630 o _______
270o Q III
Change each measure to degrees,
minutes, and seconds.
3. 29.45 o _______
4. 121.71o _______

Change each measure to degrees,
minutes, and seconds.
3. 29.45 o _______
29o 27’ 00”
o 42’ 36”
4. 121.71o 121
_______


The sine of an acute  R of a right
triangle is 2/5. Find the values of the
other trigonometric ratios for this angle.
21
5.
221
cos R = _______,
tan R = _______,
21
5
521
5
sec R = ________,
csc R = ______,
21
2
21
cot R = _______
2
Find the values of the remaining five
trigonometric functions for .
6. sin  =  2
; Quadrant II
2
csc = ____ , cos  = ____ , tan  = ____ ,
sec  = _____, cot  = ____

Find the values of the remaining five
trigonometric functions for .
6. sin  =  2
; Quadrant II
2
- 2
csc = ____
, cos  = ____
, tan  = ____
,
2
-1
2

sec  = _____,
cot  = ____
- 2
-1

Find the measure of the reference angle
for each angle.
7.
135 o ________
9.
1038 o _______
8. – 347 o ______
10. 215o _________

Find the measure of the reference angle
for each angle.
7.
45o
135 o ________
9.
1038 o _______
42o
13o
8. – 347 o ______
35o
10. 215o _________
11.Use the unit circle to find the values of the
six trig functions for the given angle. Express
exact values.  = 210o .
-½
Sin  = _______
- 3/2
Cos  = _______
3/3
Tan  = _______
-2
Csc  = _______
-23/3
Sec  = _______
3
Cot  = _______
12. Evaluate the expression fully. Express
exact simplified answer.
Sin (arccos ¾) = _______
7/4
13. Evaluate the expression fully. Express
exact simplified answer.
tan (arccos ⅝) = _______
39/5
13. Solve for all unknown values of the given
triangle.
50
BC = _________
A
14
48
73.7o
B = _________
B
C
C = _________
16.3o
14. For each of these ambiguous case problems, determine the
number of possible solutions for C and afterwards, solve
the triangle if possible.
1. A = 61o, c = 11 cm, a = 10 cm
2
# solutions = ______
44.8
B = ______
8.06
74.2 b = _______
C = ______
13.2
(if needed)B = ______
2.61
105.8 b = _______
C = ______
15. For each of these ambiguous case problems, determine the
number of possible solutions for C and afterwards, solve
the triangle if possible.
0
2. A = 54o, c = 15 cm, a = 11 cm
# solutions = ______ B =
______
C = ______ b = _______
(if needed)
# solutions = ______ B = ______
C = ______ b = _______
16. For each of these ambiguous case problems, determine the
number of possible solutions for C and afterwards, solve
the triangle if possible.
3. A = 103o, c = 13 cm, a = 18 cm
1
# solutions = ______
B =
______
32.3o
9.9 cm
44.7o b = _______
C = ______
(if needed)
# solutions = ______ B = ______
C = ______ b = _______
16. For each Law of Cosine problem, solve for all values of the
triangle.
4. A = 28o, c = 12 cm, b = 16 cm
74.4o
77.6o a = _______
7.8
B = ______
C = ______
17. Determine the area for each of the given triangles.
5. a = 5 cm, c = 11 cm, b = 13 cm
26.9 cmo
K = ____________
18. Determine the area for each of the given triangles.
6. A = 41o, c = 12 cm, b = 16 cm
63.0 cmo
K = _____________