MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Math 116 TEST 1 REVIEW Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) Find the complement of an angle whose measure is 71. 1) A) 161 B) 109 C) 71 D) 19 Perform the calculation. ) ) A) B) C) D) ) ) A) B) C) D) ) ) A) B) C) D) Convert the angle to degrees, minutes, and seconds. 5) ) A) B) 15 8 C) D) Find the angle of least positive measure coterminal with the given angle. 6) 65 6) A) 6 B) 8 C) 47 D) 9 Solve the problem. 7) A wheel is rotating 40 times per minute. Through how many degrees does a point on the edge of the wheel move in 1 seconds? 7) A) 180 B) 70 C) 4 D) 540 Find the angle of least positive measure coterminal with the given angle. 8) ) A) B) 44 C) 44 D) 116 Give an expression that generates all angles coterminal with the given angle. Let n represent any integer. 9) 45 9) A) 45 + n B) 45 + n 90 C) 45 + n 60 D) 45 + n 180 Find the angle of least positive measure coterminal with the given angle. 10) ) A) 560 B) 110 C) 00 D) 0 1

2 The triangles are similar. Find the missing side, angle or value of the variable. 11) 11) a = 1 b = 1 c = 5 d = 6 e = 4 A) x = 5 B) x = 10 C) x = 15 D) x = 7 Solve the problem. Round answers to the nearest tenth if necessary. 1) A triangle drawn on a map has sides of lengths 7 cm, 11 cm, and 15 cm. The shortest of the corresponding real-life distances is 9 km. Find the longest of the real-life distances. A) 07.1 km B) km C) km D) 14.6 km 1)

3 Sketch an angle in standard position such that has the least positive measure and the given point is on the terminal side of. 1) (0, -5) 1) A) B) C) D) Suppose that is in standard position and the given point is on the terminal side of. Give the exact value of the indicated trig function for. 14) (18, 4); Find csc. 14) A) 4 B) 5 4 C) 4 D) 5 15) (15, 0); Find cos. 15) A) 4 5 B) 4 C) 4 D) 5

4 An equation of the terminal side of an angle in standard position is given along with a restriction on x. Find the indicated trigonometric function value of. Do not use a calculator. 16) -9x + y = 0, x 0; Find sin. 16) A) 8 8 B) 1 9 C) D) 9 17) x + y = 0, x 0; Find csc. 17) A) - 1 B) C) D) - If n is an integer, n 180 represents an integer multiple of 180, and (n + 1) 90 represents an odd integer multiple of 90. Decide whether the expression is equal to 0, 1, -1, or is undefined. 18) cos((n + 1) 90 ) 18) A) 0 B) 1 C) Undefined D) -1 Use the fundamental identities to find the value of the trigonometric function. 19) Find sin, given that cos = and is in quadrant IV. 19) A) - B) 5 4 C) - 5 D) 7 7 Evaluate the expression. 0) 8 tan 0 + csc 70 0) A) B) 0 C) Undefined D) - Use the fundamental identities to find the value of the trigonometric function. 1) Find csc, given that sin = - and is in quadrant IV. 1) A) 7 7 B) - C) 5 4 D) Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. ) sin 77 ) A) cos 77 B) cos 1 C) sin 167 D) csc 1 Find a solution for the equation. Assume that all angles are acute angles. ) tan( + 16 ) = cot( + 4 ) ) A) 17.5 B) 19 C) 16.5 D) 17 4) tan( + 1 ) = cot( + 6 ) 4) A) 10.5 B) 16 C) 1 D) 14.5 Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle. 5) sin( + 14 ) 5) A) cos(76 - ) B) sin (104 - ) C) cos (104 - ) D) csc(76 - ) 6) tan( + ) 6) A) cot(11 - ) B) tan(68 - ) C) cot(158 - ) D) cot(68 - ) 4

5 Solve the problem. 7) Any offset between a stationary radar gun and a moving target creates a "cosine effect" that reduces the radar mileage reading by the cosine of the angle between the gun and the vehicle. That is, the radar speed reading is the product of the actual reading and the cosine of the angle. Find the radar reading to the nearest hundredth for the auto shown in the figure. 7) 1 angle Actual speed: 97 mph A) 96.0 mph B) mph C) mph D) 1.8 mph 8) The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin, where W is the weight of the car and is the angle of the hill's grade ( > 0 for uphill travel, < 0 for downhill travel). What is the grade resistance (to the nearest pound) of a 000-lb car traveling uphill on a grade ( = )? A) 157 lb B) 00 lb C) -00 lb D) -157 lb 9) Find the exact value of x in the figure. 8) 9) 44 A) B) 0 C) 6 D) Without using a calculator, give the exact trigonometric function value with rational denominator. 0) cos 0 0) A) B) C) 1 D) 1) sec 45 1) A) 1 B) 1 C) D) ) sin 60 ) A) B) C) 1 D) 5

6 ) tan 60 ) A) 1 B) C) D) Find the reference angle for the given angle. 4) 6.6 4) A) B) 1.4 C).4 D) ) 19 5) A) 51 B) 49 C) 61 D) 9 6) -40 6) A) 1 B) 47 C) 17 D) 4 Find the exact value of the expression. 7) csc 0 7) A) B) - C) D) - Evaluate. 8) tan 10 + sin cos 0 8) A) - 15 B) 15 C) 11 D) 9 Find the exact value of the expression. 9) sec 150 9) A) B) - C) D) - Find a value of in [0, 90 ] that satisfies the statement. Leave answer in decimal degrees rounded to seven decimal places, if necessary. 40) cot = ) A) B) C) D) ) sin = ) A) B) C) D) Evaluate. 4) cos 15 - sin tan 0 4) A) 17 B) 11 C) - 1 D) Find all values of, if is in the interval [0, 60 ) and has the given function value. 4) sin = A) 60 and 00 B) 10 and 0 C) 60 and 10 D) 150 and 10 4) 6

7 44) cos = - A) 60 and 00 B) 150 and 10 C) 60 and 10 D) 10 and 0 44) Convert the angle to degrees, minutes, and seconds. 45) ) A) 0 55 B) 0 65 C) D)

8 Answer Key Testname: MATH 116 TEST 1 REVIEW FALL 16 1) D ) C ) A 4) C 5) D 6) D 7) B 8) B 9) C 10) C 11) B 1) B 1) B 14) B 15) D 16) C 17) B 18) A 19) C 0) D 1) B ) B ) A 4) A 5) A 6) D 7) C 8) A 9) A 0) D 1) C ) A ) C 4) D 5) A 6) D 7) B 8) C 9) D 40) C 41) D 4) D 4) C 44) B 45) D 8