Fall 2003 –
The material is organized differently than last year. I have given you both Test 3 & 4 from last year. I
have marked the questions that cover material from our Test 3 with bold print.
Math 117 Test 3* Calculator-free portion Carter Name______________________
Show all work. 11/8/02
Upper case variables refer to angles; lower case variables refer to lengths of sides. The figures are not drawn to scale, but are to
only give relative position of variables.
I. Sketch at least 2 periods of the following, plot specific points, label axes. 18
f(t) = 5 cos tg(t) = sin(3t + ) h(t) = tan t - 2
II. Given A = 60 and a = 7. 9
b = ________ 14/(3)^.5
c = _________ sqrt(16.333)
C = ________ 30o
III. Assume that cos t = -1/4 and < t < Use identities to find the following. 21
1. sin t =
2. cos (-t) =
3. sin(2- t) =
4 cos (t + 4 =
5 tan t =
6 tan (t + 3
7 sec t =
Math 117 Test 3* Carter Name______________________
Show all work. 11/8/02
1. Refer to the sketch.
Amplitude = _________
Period = _________
Phase shift = _________
Using your answers above, state a rule that describes the function.
________________________________________________ 10
C
a b
B c A
