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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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 Spring '07
 ROSAY
 Trigonometry, Pythagorean Theorem, triangle, exact values, right triangle BAC

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