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Calculus I Quiz #4 September
17, 2003
Name____________________ R. Hammack Score
______
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(1)
(a)
(b)
(c)
(d)
(e)
(2) Find all values of
for which
.
From part d of the above problem, we see that one such value of
is
,
which is a radian measure in the first quadrant. Adding
to
puts the angle into the third quadrant, but still
.
In general, you could add any multiple of .
Thus the answer is
,
where n
is an integer.
(3) Suppose
and
.
Find
.
From ,
we get
.
Now apply the identity to
get
Then
(4) Consider the following triangle. Find
.
By the Pythagorean Theorem, we have HYP = .
Thus .