2. [6A] Determine an equation for each of the following graphs using either Sine or Cosine.
2
-60 -30
0.5-
-1.0
-1.5-
-2.0+
-2.5+
90
130
120-
110-
100-
90-
80-
70-
60-
50-
40-
30-
20
10+
180
10
30
60 90 120 150 180 210 240 270 300 330 360 390 41
3. A team of biologists have discovered a new creature in the rain forest. They note the
temperature of the animal appears to vary sinusoidally over time. A maximum temperature of
130° occurs 20 minutes after they start their examination. A minimum temperature of 80 °
occurs 20 minutes later. The team would like to find a way to predict the animal's
temperature over time in minutes.
a) Help them by creating a graph of one full cycle [3T]
270
20
30
36
-
40
50
60
Page 2 of 3
b) Based on your graph come up with a Cosine equation to model this behavior of temperature
as a function over time in minutes [4T]
c) Use your equation to predict the animal's temperature when they started the examination.
[1T]