1. Trig/Precalculus Section 5.1 – 5.8 Pre-Test

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. 1. –345 o ______ 2. 630 o _______

3. 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 _______ 15 o Q I 270 o Q III

4. Change each measure to degrees, minutes, and seconds. 3. 29.45 o _______ 4. 121.71 o _______

5. Change each measure to degrees, minutes, and seconds. 3. 29.45 o _______ 4. 121.71 o _______ 29 o 27’ 00” 121 o 42’ 36”

6. 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 5  21 21 2  21 21 5 2

7. Find the values of the remaining five trigonometric functions for . 6.sin  =  2 ; Quadrant II 2 csc  = ____, cos  = ____, tan  = ____, sec  = _____, cot  = ____

8. Find the values of the remaining five trigonometric functions for . 6.sin  =  2 ; Quadrant II 2 csc  = ____, cos  = ____, tan  = ____, sec  = _____, cot  = ____ -  2 22 - 1 -  2 2

9. Find the measure of the reference angle for each angle. 7. 135 o ________8. – 347 o ______ 9. 1038 o _______10. 215 o _________

10. Find the measure of the reference angle for each angle. 7. 135 o ________8. – 347 o ______ 9. 1038 o _______10. 215 o _________ 45 o 13 o 42 o 35 o

11. 11.Use the unit circle to find the values of the six trig functions for the given angle. Express exact values.  = 210 o. Sin  = _______Cos  = _______Tan  = _______ Csc  = _______Sec  = _______Cot  = _______ - ½ -  3/2  3/3 - 2 -2  3/3 33

12. 12. Evaluate the expression fully. Express exact simplified answer. Sin (arccos ¾) = _______  7/4

13. 13. Evaluate the expression fully. Express exact simplified answer. tan (arccos ⅝) = _______  39/5

14. 13. Solve for all unknown values of the given triangle. A B C 48 14 BC = _________  B = _________  C = _________ 50 16.3 o 73.7 o

15. 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 = 61 o, c = 11 cm, a = 10 cm # solutions = ______ B = ______ C = ______ b = _______ (if needed)B = ______ C = ______ b = _______ 2 44.8 74.2 8.06 105.8 13.2 2.61

16. 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 = 54 o, c = 15 cm, a = 11 cm # solutions = ______ B = ______ C = ______ b = _______ (if needed)# solutions = ______ B = ______ C = ______ b = _______ 0

17. 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 = 103 o, c = 13 cm, a = 18 cm # solutions = ______ B = ______ C = ______ b = _______ (if needed)# solutions = ______ B = ______ C = ______ b = _______ 1 9.9 cm 44.7 o 32.3 o

18. 16. For each Law of Cosine problem, solve for all values of the triangle. 4. A = 28 o, c = 12 cm, b = 16 cm B = ______ C = ______ a = _______ 7.874.4 o 77.6 o

19. 17. Determine the area for each of the given triangles. 5. a = 5 cm, c = 11 cm, b = 13 cmK = ____________ 26.9 cm o

20. 18. Determine the area for each of the given triangles. 6. A = 41 o, c = 12 cm, b = 16 cmK = _____________ 63.0 cm o