tm2 - MAC 1114 MODULE 2 TEST...

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Unformatted text preview: MAC 1114 MODULE 2 TEST Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem for the given information. 1) Find the equation of a line passing through the origin so that the tangent of the angle between the line in 3 quadrant I and the positive x-axis is A) y = 3 3x 3 . B) y = x C) y = 3x D) y = 2 2x Without using a calculator, give the exact trigonometric function values with rational denominators. 2) csc 45 ° A) 1 2 B) 2 2 C) D) 2 C) 1 3 3 3) sin 30° A) 3 2 B) 2 3 D) 1 2 Without using a calculator, give the exact trigonometric function value with rational denominator. 4) cos 60 ° A) 3 2 B) 1 2 C) 2 2 D) 3 D) 3 Find the exact value of the following expression without using a calculator. 5) cot (60°) A) 1 B) 1 2 C) Give the signs of the trigonometric functions. 6) sec (-65°) and sin (-65°) A) + and B) - and + 7) csc (610°) and cot (610°) A) - and - 3 3 C) - and - C) + and - B) + and + D) + and + D) - and + Find all values of θ, if θ is in the interval [0, 360°) and has the given function value. 8) tan θ = 1 A) 135° and 225° B) 45° and 315° C) 225° and 315° 1 D) 45° and 225° Find the exact function value if it exists. 9) cos 90 ° A) 0 B) 1 C) 3 2 D) Undefined Solve the problem. 10) One formula used by surveyors to determine the distance between two points is d = 0.5b cos(0.5 α) , where b sin(0.5α) is the length of the subtense bar, and α is an angle measured. If the length of the subtense bar is 6 meters, and α = 1.3 °, find d. Round your answer to the nearest tenth of a meter. A) d = 276.1 m B) d = 284.7 m C) d = 264.4 m D) d = 259.3 m Use a calculator to find the function value to four decimal places. 11) tan (2.29 ) A) -1.1420 B) -0.6588 C) 0.7523 D) -1.5179 Use a calculator to give the approximate value in degrees. 12) tan θ = .7002 A) 38.00 ° B) 34.90 ° C) 33.00 ° D) 35.00 ° TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Use a calculator to decide whether the statement is true or false. 13) sin (180°+ 45 °) =sin 180° · cos 45° + cos 180° · sin 45° MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use a calculator to give the approximate value in degrees. 14) sin θ = .6565 A) 49.03 ° B) 44.03 ° C) 41.03 ° Solve the right triangle. 15) B = 23.7 °, c = 2.7 mm, C = 90° A) a = 1.7 mm, A = 66.3 °, b = 2.1 cm C) a = 2.5 mm, A = 66.3 °, b = 1.1 mm B) a = 1.1 mm, A = 66.3 °, b = 2.5 mm D) a = 2.5 mm, A = 66.3 °, b = 1.7 mm D) 39.03 ° The number represents an approximate measurement. State the range represented by the measurement. 16) 9.69 k A) 9.6875 kg to 9.6925 kg B) 8.69 kg to 10.69 kg C) 9.685 kg to 9.695 kg D) 9.689 kg to 9.691 kg Solve the right triangle. 17) a = 3.2 cm, b = 3.0 cm, C = 90° A) A = 42.3 °, B = 47.7 °, c = 4.4 cm C) A = 46.8 °, B = 43.2 °, c = 4.4 cm B) A = 69.6 °, B = 20.4 °, c = 6.2 cm D) A = 43.2 °, B = 46.8 °, c = 4.4 cm 2 Solve for the requested quantity. 18) sin A x=2 y=9 A) 0.2169 B) 4.5000 C) 0.9762 D) 0.2222 Write in terms of the cofunction of a complementary angle. 19) sin 78° A) tan 12° B) cot 12° C) cos 78° D) cos 12° Solve the right triangle. ′ 20) A = 64° 5 , c = 258 m , C = 90° ′ A) B = 25° 5 , a = 233.25 m, b = 105.76 m ′ C) B = 25° 55 , a = 232.05 m, b = 112.76 m B) B = 25° 55 , a = 232.25 m, b = 119.76 m ′ D) B = 26° 5 , a = 232.25 m, b = 112.76 m ′ 3 ...
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