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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 .