Math 1060-1
Exam 1
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Math 1060-1
Exam 1
1. (8) Convert the following angles from radians to degrees or degrees to
radians, as the case may be, without the use of a conversion on a calculator,
and specify which quadrant each angle lies in.
(a)
−14π
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(b) 27◦
2. (5) A wheel with a diameter of 12 inches is rotating at a speed of 5
revolutions per minute. What is the linear speed of the wheel?
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and tan θ ≤ 0, find the following using the
3. (8) Given that sec θ =
3
trigonometric identities.
(a) cos θ
(b) tan θ
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4. (10) Choose one of the following functions and sketch the graph. Give the
period and amplitude of each of the following functions. Only graph one
of the functions!
π (a) y = 2 + 3 sin
x
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(b) y = tan
x
2
+
π
2
3
5. (8) Evaluate the following without the use of a calculator.
√ !
2
(a) arcsin −
2
5
(b) sin arccos −
13
6. (5) Give an algebraic expression for cos [arctan(x − 9)].
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7. (5) You are standing 200 feet from the base of a platform from which
people are bungee jumping. The angle of elevation from your position to
the top of the platform from which the people are jumping is 50◦ . From
what height are the people jumping?
8. (10) A climber went up Little Cottonwood Canyon last weekend. She
climbed straight up for 40 meters, turned 30 degrees to the right (measured
from the vertical) and continued for 20 meters. If she rappels from that
point down to her starting point, how long will her descent be?
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