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MAC 1114, Fall 2012 Exam #1 (Non-calculator portion), 2pm, Version A This portion of the exam has 13 questions on 2 pages. Make sure your copy has all the questions. NO CALCULATORS ARE ALLOWED FOR THIS PORTION OF THE EXAM. Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the exact value of the indicated trigonometric function of θ. 4 8) tan θ = - , θ in quadrant II Find cos θ. 9 A) 9 97 97 B) - 9 97 97 8) 97 9 C) - D) 97 4 In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t. 7 3 9) (, ) Find cot t. 9) 4 4 A) 3 4 B) 7 4 C) - 4 3 7 3 D) - Find the exact value. π 10) cot (- ) 2 A) 1 10) B) -1 C) 0 D) undefined 11) sec 45° 2 A) 2 11) 2 3 B) 3 C) Name the quadrant in which the angle θ lies. 12) sec θ < 0, tan θ < 0 A) I B) II 2 D) 3 12) C) III D) IV Find the exact value of the expression. π π 13) sin - cos 3 6 A) 1 14) cos B) 13) 3 C) 3-1 2 D) 0 π 5π + tan 3 3 A) 1-2 3 2 14) B) 2 3+3 6 C) 1 3+3 3 D) 3+1 2 Solve the problem. 15) For what numbers θ is f(θ) = sec θ not defined? 15) A) integral multiples of π (180°) B) all real numbers C) odd multiples of π (180°) D) odd multiples of π (90°) 2 16) What is the range of the cosine function? A) all real numbers from -1 to 1, inclusive B) all real numbers greater than or equal to 1 or less than or equal to -1 C) all real numbers greater than or equal to 0 D) all real numbers Use the even-odd properties to find the exact value of the expression. 17) sin (-60°) 1 3 3 A) B) C) 2 2 2 16) 17) D) - 1 2 Use the fact that the trigonometric functions are periodic to find the exact value of the expression. 11π 18) sec 4 A) - 2 3 3 B) - 2 C) 2 2 D) -2 Use the properties of the trigonometric functions to find the exact value of the expression. sin 50° 19) tan 50° cos 50° A) 0 20) sec2 35° - tan2 35° A) 0 18) B) 1 C) 50 D) undefined B) 1 C) -1 D) 2 19) 20) 2 Answer Key Testname: EXAM1(091412)(NON-CALCULATOR)2PMVERSIONA 8) B 9) D 10) C 11) C 12) B 13) D 14) A 15) D 16) A 17) C 18) B 19) A 20) B 3