1. When graphing the sine and cosine functions, determining the amplitude is part of the analysis. Explain why this is not true for the other four trigonometric functions.
2. A weight is suspended from a ceiling by a steel spring. The weight is lifted (positive direction) from the equilibrium position and released. The resulting motion of the weight is modeled by

Where y is the distance (in feet) from equilibrium and t is the time (in seconds). The figure shows the graph of the function. For each of the following, describe the change in the graph without graphing the resulting function.
(a) A is changed from 1 / 5 to 1 / 3.
(b) k is changed from 1 / 10 to 1 / 3.
(c) b is changed from 6 to 9.

1. y = Ae-kt cos bt 1/10 cos 6t 0.2 0.1 5 -0.1 -0.2