MAT 122 Test 1
Winter 1998
Show all work for credit. Do all your work neatly on the paper provided.
Write your name on each sheet you turn in. I will not grade any work done
on the test sheet. When you are finished turn in all sheets including the test.
Good Luck.
- 1.
-
Fill in the following table:
-
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q 0 p/6 p/4 p/3 p/2
-
-
sinq
-
-
cosq
- 2.
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For q = 7p/4 do the following
- a.
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Find the quadrant in which q lies.
- b.
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Sketch the angle in standard position.
- c.
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Determine two coterminal angles for q (one positive one
negative)
- d.
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Find the reference angle q¢
- 3.
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Given that cosq = 4/5 and tanq < 0 find
the values of the other 5 trigonometric functions of q.
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4.
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Find the sine and cosine of the given angles.
- a.
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210°
- b.
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5p/4
- c.
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-p/3
- 5.
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Graph f(x) = 3sin(2x-p/2) and f(x) = 3csc(2x-p/2).
(you may do so on the same set of axes)
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6.
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Graph cot(2x-p/4).
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7.
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A 6 foot person standing 14 feet from a street light casts
a 7 foot shadow (see board). What is the height of the street light?
- 8.
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The second hand of a clock is 10 centimeters long. Find both
the angular speed of the second hand, and the speed of the tip of the
second hand.
File translated from TEX by TTH, version 1.58.