trig/precalculus section 5.1 – 5.8 pre-test. for an angle in standard position, determine a...
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Trig/Precalculus
Section 5.1 – 5.8 Pre-Test
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.
1. –345 o ______
2. 630 o _______
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.
1. –345 o ______
2. 630 o _______15o Q I
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 _______
4. 121.71o _______
29o 27’ 00”
121o 42’ 36”
The sine of an acute R of a right triangle is 2/5. Find the values of the other trigonometric ratios for this angle.
5. cos R = _______, tan R = _______,
sec R = ________, csc R = ______,
cot R = _______
21
5
2
21
521
21
221
21
5
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
csc = ____ , cos = ____ , tan = ____ ,
sec = _____, cot = ____ - 2
2
- 1
-1
- 2
2
Find the measure of the reference angle for each angle.
7. 135 o ________ 8. – 347 o ______
9. 1038 o _______ 10. 215o _________
Find the measure of the reference angle for each angle.
7. 135 o ________ 8. – 347 o ______
9. 1038 o _______ 10. 215o _________
45o 13o
42o 35o
11.Use the unit circle to find the values of the six trig functions for the given angle. Express exact values. = 210o .
Sin = _______ Cos = _______ Tan = _______
Csc = _______ Sec = _______ Cot = _______
- ½ - 3/2 3/3
- 2 -23/3 3
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.
A
BC
4814
BC = _________
B = _________
C = _________
50
16.3o
73.7o
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# solutions = ______ B = ______
C = ______ b = _______
(if needed)B = ______C = ______ b = _______
244.874.2 8.06
105.813.2
2.61
15. For each of these ambiguous case problems, determine the number of possible solutions for C and afterwards, solve the triangle if possible.
2. A = 54o, c = 15 cm, a = 11 cm# solutions = ______ B = ______C = ______ b = _______
(if needed) # solutions = ______ B = ______C = ______ b = _______
0
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# solutions = ______ B =
______C = ______ b = _______
(if needed) # solutions = ______ B = ______C = ______ b = _______
1
9.9 cm44.7o32.3o
16. For each Law of Cosine problem, solve for all values of the triangle.
4. A = 28o, c = 12 cm, b = 16 cmB = ______ C = ______ a = _______7.874.4o 77.6o
17. Determine the area for each of the given triangles.
5. a = 5 cm, c = 11 cm, b = 13 cm K = ____________26.9 cmo
18. Determine the area for each of the given triangles.
6. A = 41o, c = 12 cm, b = 16 cm K = _____________63.0 cmo