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Unformatted text preview: mumwmmmm'nm.mumm—mm. _ ,4 ._ , _ , ,,, , r wood  Ros», Math 113 EXAM I, Feb. 21, 2000, (1 hour). N AME: SECTION: To receive credit for an answer, you MUST show work justifying that answer.
WHENEVER POSSIBLE, GIVE EXACT VALUES. 1. (15 points) Evaluate (exactly) the cosines, the Sines and the tangents of the angles a and ,6. k
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cos(a) = , sin(a) = , tan(a) =
cosw) = , sinW) = , tan(ﬂ) : Using your calculator, evaluate the angles a and ,8. memmwgm.4 p—I 7
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‘3 II. Using you calculator, evaluate a and 13 (length of the sides). KEEP AT LEAST 4
‘ DIGITS after the decimal point. ’ (10 points) III. Convert 26012’ in radians (keep exact values). (5 points) IV. (25 points) 1) Given that cosa; = ‘?2, show on the ﬁgure what are the possible terminal sides for the
angle a: (in standard position). 2) If we are given the additional information that tansc > 0, show on the same ﬁgure which
i must be the terminal side. Still assuming that
tans: > 0, evaluate exactly sing: and tan 3:. 3
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§ “a William—44"»: M, V. From a point A, one sees the top of a vertical pole at an angle of elevation of 60°. Point
B is located 25 ft away from point A, on the other side of the pole, From point B, the top
of the pole is seen at an angle of elevation of 42°. Haw far is point A from the base of the pole? (25 points) Method imposed: Solve this problem with the tools of Chapter 1 (Right Triangle Ratios, deﬁnitions of sine, cosine etc..). (No solution using the law of Sines or the law of cosines,
to be seen in Chapter 6). VI. Given that the radius of the circle is 5 (units), and that the length of the line segment
AB is 4, evaluate the length of the are from A to B, and the area of the circular sector with central angle 6. Keep 4 digits beyond decimal point. (20 points)
HINT: Evaluate sin(§). Then, using your calculator, determine %. : JihaMWma’ﬂWWWNHWQN‘WW . I V mum «WM«r “whom” mm H ...
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 Spring '07
 ROSAY
 Trigonometry, Law Of Cosines, decimal point, exact values

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