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113-rosay-07spex01-v2 - Math'113 EXAM I Feb 19 2007(50...

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Unformatted text preview: Math'113 EXAM I, Feb. 19, 2007, (50 minutes). NAME: SECTION: Instructor: TO RECEIVE CREDIT FOR AN ANSWER, YOU MUST SHOW WORK JUSTIFYING THAT ANSWER. I. (NO CALCULATOR) A . 7 — ’O (30 points) 9-— 7 ~—— . . On the figure 1.40] -= lDC’l = R (I I denotes length, and R is the radius of the circle). 1) Apply the Pythagorean Theorem to the right triangle BAC’, and get the exact value of R. . 2) Give the exact values of: cos 6, sin6 and tan 6. Draw the altitude of the triangle ABC, from the Vertex A to the side BC, and denote by H the point at which it meets the side BC. Give the exact values of |AH| and IBHI. II. (With calculator). > - I _ _ (20 points) The are shown on the figure is an arc of a circle with center at C'. 1) Give approximate values of the measure of the angle '7, in degrees and in radians. 2) Evaluate the area of the shaded region. III. What are the possible values of cos x, given that sina: = —%? Give the corresponding values of tan :6. (15 points) IV. Draw the graph of y = 2cos(3:z: + 4 1. (30 points) /\\i v 'H 3 'V. Evaluate {AB} (the length of the line segment AB). (25 points) If you have finished the exam, then for 3 extra points: Write a ‘story problem’ leading to the figure above. Use back of this page. ...
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