Chapter 13 Test Algebra 2 with Trig-Bradshaw
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____ 1. Find the values of the six trigonometric functions for angle , when AC = 10 and BC = 8.
a. / sin = , cos = , csc = , sec = , tan = , and cot = .
b. / sin = , cos = , csc = , sec = , tan = , and cot = .
c. / sin = , cos = , csc = , sec = , tan = , and cot = .
d. / sin = , cos = , csc = , sec = , tan = , and cot = .
____ 2. Solve ABC by using the measurements , , and . Round measures of sides to the nearest tenth and measures of angles to the nearest degree.
a. / , , / c. / , ,
b. / , , / d. / , ,
____ 3. A 15-m long ladder rests against a wall at an angle of with the ground. How far is the foot of the ladder from the wall?
a. / 7.5 m / c. / 17.3 mb. / 12.9 m / d. / 30 m
Rewrite the radian measure in degrees.
____ 4.
a. / 5 / c. / 100b. / 10p / d. / 10
____ 5.
a. / 450 / c. / 45b. / 7.5 / d. / 45p
Rewrite the degree measure in radians.
____ 6. –1080°
a. / / c. /b. / / d. /
____ 7. 9°
a. / / c. /b. / 3600p / d. / 1146.5
____ 8. Find one angle with positive measure and one angle with negative measure coterminal with an angle of 172°.
a. / 532°, –82 / c. / 262°, –82°b. / 532°, –188° / d. / 524°, –8°
Find the value of the given trigonometric function.
____ 9. sin –585
a. / / c. /b. / / d. / –1
____ 10. cos 780
a. / / c. /b. / / d. /
____ 11. csc –660
a. / / c. /b. / 2 / d. /
Find the exact values of the remaining five trigonometric functions of .
____ 12. Suppose is an angle in the standard position whose terminal side is in Quadrant III and .
a. / sin , cos , csc , tan , and cotb. / sin , cos , csc , tan , and cot
c. / sin , cos , csc , tan , and cot
d. / sin , cos , csc , tan , and cot
____ 13. Suppose is an angle in the standard position whose terminal side is in Quadrant III and .
a. / sin , csc , sec , tan , and cotb. / sin , csc , sec , tan , and cot
c. / sin , csc , sec , tan , and cot
d. / sin , csc , sec , tan , and cot
Solve the given triangle. Round the measures of sides to the nearest tenth and measures of angles to the nearest degree.
____ 14.
c = 9.0, B = 40°, C = 65°
a. / A = 75°, a = 9.6, b = 6.4 / c. / A = 75°, a = 9.0, b = 6.4b. / A = 75°, a = 6.4, b = 9.6 / d. / A = 75°, a = 70.4, b = 6.4
____ 15.
Q = 35°, p = 8, q = 5
a. / P = 55°, R = 90°, r = 6.6 / c. / P = 90°, R = 55°, r = 8.6b. / P = 90°, R = 55°, r = 6.6 / d. / P = 55°, R = 90°, r = 8.6
Determine whether the given triangle has no solution, one solution or two solutions. Then solve the triangle. Round measures of sides to the nearest tenth and measures of angles to the nearest degree.
____ 16.
P = 38°, p = 8, q = 6.
a. / one solution; r 8.0; Q 120°; R 122°b. / one solution; r 8.0; Q ; R 115
c. / no solution.
d. / one solution; r 5.0; Q 27°; R 122°
Determine whether each triangle should be solved by beginning with the Law of Sines or the Law of Cosines. Then solve each triangle. Round measures of sides to the nearest tenth and measures of angles to the nearest degree.
____ 17.
a = 20, b = 21, C = 59
a. / Law of Cosines; c 20.0, A 59, B 62b. / Law of Cosines; c 36, A 28, B 93
c. / Law of Sines; c 20.0, A 62, B 59
d. / Law of Sines; c 36, A 28, B 93
The given point P is located on the unit circle. Find sin and cos .
____ 18. P(0.8, 0.6)
a. / sin = 0.6; cos = 0.8 / c. / sin = –0.6; cos = –0.8b. / sin = 0.8; cos = 0.6 / d. / sin = –0.8; cos = –0.6
____ 19. P
a. / sin = ; cos = / c. / sin = –; cos = –b. / sin = ; cos = / d. / sin = –; cos = –
____ 20. Find the exact value of the function sin .
a. / 0 / c. / 2.86b. / 0.00 / d. / 0.91
____ 21. Find the exact value of the function sin 610.
a. / –0.939692620786 / c. / 0b. / 0.50641762828 / d. / 0.001639343528
____ 22. Solve x = Arctan by finding the value of x to the nearest degree.
a. / 9 / c. / 0.16b. / 0.11 / d. / 81.03
____ 23. Solve x = Sin by finding the value of x to the nearest degree.
a. / 56.4 / c. / 0.02b. / 0.74 / d. / 33.56
____ 24. Find the value of cot (Cos ). Round to the nearest hundredth.
a. / 0.71 / c. / 0.67b. / 0.32 / d. / 3.09
____ 25. Find the value of cos (Sin). Round to the nearest hundredth.
a. / 0.28 / c. / 1.29b. / 0.96 / d. / 0.98