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Practice Exam #2 1. Find the exact value of the expression cos−1 (−1/2). Do not use a calculator. 2. The point (−2, 3) is on the terminal side of an angle θ. Draw this angle and find the exact value of each of the six trigonometric functions of θ. 3. What is the largest value of y = sin x? 4. Two pulleys, one with radius 4 inches and the other with radius 6 inches, are connected by a belt. If the 4 inch pulley is caused to rotate at 10 revolutions per second, determine the revolutions per second of the 6 inch pulley. 5. Use transformations to graph y = 4 tan(3x). 6. Find the exact value of the expression cos tan−1 (1/3) . Draw and label an appropriate right triangle to support your answer. 7. Draw the angle π/3, mark the appropriate point on the unit circle and find the exact value of the expression sin2 (π/3). 1