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Unformatted text preview: VEKSIOM ‘1 RojM TAKE NOTE: The dates of the third midterm and of the ﬁnal on the syllabus are wrong.
The correct dates are: Third midterm on Monday April 18 (5:30 - 6:30),
Final On Monday May 9 at 7:25.
Math 113 EXAM I, Feb. 14, 2005, (50 minutes). NAME: SECTION: Instructor: TO RECEIVE CREDIT FOR AN ANSWER,
YOU MUST SHOW WORK JUSTIFYING THAT ANSWER. I. (NC CALCULATOR) (30 points)
Give the EXACT values of: cos 6, sin 0, tanQ and the length of the line segment OH. Give the exact value of the angle a in degrees and in radians. Give the exact values of the area of the shaded region, and of the length of the arc of circle from C to C". The circle,
whose arc is shown of the ﬁgure, has its center at 0. II. (NO CALCULATOR) (30 points) On the ﬁgure, show the possible terminal sides
for an angle 9 in standard position, such that cos 0 = —%. For each of these terminal sides,
give the corresponding values of sin0 and tan 6. Keep exact values. \( III. (30 points) Evaluate the length h. Method imposed: Solve this problem with the tools of Chapter 2 (Right Triangles, deﬁnition of sine, cosine and tangent). Do not use tools such as the law of sines and the law of cosines to be seen in Chapter 9. ‘
' ’7 ———> . . IV. (30 points)
1) Draw the graph of yi2+2cos(£).
y 2 2) It this is the graph of y = Asin 3m + B, evaluate A and B and the coordinates (as, y) of
the point P on the graph. ' ...
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- Spring '07