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Unformatted text preview: "mm sm‘wvr; » "L ,ﬁépm: y,“ MA H 1000 P.DSN1’ F Math 113 EXAM II_, Oct. 31, 2000, (1 hour1/2).
§ NAME: g 2 SECTION: To receive credit for an answer, you MUST Show work justifying that answer. I. Determine the angles in the triangle shown below. 8 (25 points) i
1
1
i
H
E
2 II. Give the EXACT values of: sin 1050, cos 105°, and tan 105°. (20 points) myManMzmﬁvummﬂum ‘ A haw“ .. A “mm.” ._,u..tv.i.,.. V m. wwwmuaivlnm»n ma Wu .: i. . , III. Given cos 6 = %, what are the possible values of 005(9 + 7’)? On the ﬁgure, show the possible terminal sides for the angle 0
points) IV. Verify the identity cos(ac + y)
tans: tany (1 — sin2 3:)(1 — sin2 y) §
(in standard position), and for the angle 0 + (25 (20 points) . _ — cos :3 cos y.
3m :3 sm 3; ‘ V. Determine the weights W1 and W2 so that the following is an equilibrium position. (30
points) raw/xx .. 4,4,“ U, mtwnmmaw s .. VI. In football, the distance between the right upright pole and the left upright pole of
a goal post is 5.64 In. . Looking at a goal post, from a point on a sideline, there is an
angle or 26.560 between the direction of the sideline and the direction (on the ground) to
the left pole, and there is an angle of 32.260 between the direction of the sideline and the
direction to the right pole. Is the observation made from the left sideline or from the right
sideline, when facing this goal post? Draw a ﬁgure. How wide is the football ﬁeld? Using
the given data, can one say how long it is? (30 points)
Do not assume that the ﬁeld has regulation size. ...
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This note was uploaded on 08/08/2008 for the course MATH 113 taught by Professor Rosay during the Spring '07 term at University of Wisconsin.
 Spring '07
 ROSAY
 Trigonometry

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