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Unformatted text preview: Math 112 Spring 2008 ' Quiz 2 (April 17, 2008) Name: You must show all work clearly to receive any points for a problem. Circle your ﬁnal answers. You have 15 minutes. No notes or calculators are allowed. Express all answers in simplest form. 1. (24 points) In the following exercise, state the amplitude, period, and phase shift of the function. '
h(t) = —SCos(7t — 75/9) amﬂude '. \eSl @ , 2 x @6903 r g gﬁ/q qr kaCl’ : w,” : "" {Maw <9 .7 Q$ 2. (24 points) Evaluate each of the follo 'ng. ' I V f «2 " o sec(—TC/6) : (2.80%) ’ CE) o csc(—7:/6) :: . cot(—7t/6) k9 : icogﬁ'lT/é), Si/VC'TF/G) : u
l
in 3. (28 points) In the following exercise, suppose there is a weight hanging from a spring
(under conditions in which the spring has perfect elasticity and friction, air resistance, etc., are
negligible). The weight is given a push to start it moving. At any time I, let h(t) be the height
(or depth) of the weight above (or below) its equilibrium point. Assume that the maximum
distance the weight moves in either direction from the equilibrium point is 9 centimeters and
that it moves through a complete cycle every 2 seconds. Express 110‘) in terms of the sine or
cosine function under the stated conditions. Weight is pulled 9 centimeters below equilibrium, and the initial movement is upward. 2:35 5? b‘ﬂ" 4. (24 points) In the following exercise, evaluate each of the following trigonometric functions
at t, if the point (—3,7) lies on the terminal side of an angle of t radians in standard position.
(If one of the functions is undeﬁned, write “undeﬁned”.) o ec(t)
S F: 3 (331+? H o csc(t) o cot(t) 3 q + qq F I...— sectt) 1’ “x H CSCUL) [9 ’f U , l ...
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 Spring '08
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