In Exercises, view the graphs on a calculator if the given changes are made in the indicated examples of this section.

In Example 2, change 0.5 to 5.

Data from Example 2

View at least two cycles of the graph of y = 0.5cot 2x on a calculator. Because the period of y = cot x is π, the period of y = cot 2x is π/2. Therefore, we choose the window settings as follows:

Xmin = 0 (x = 0 is one asymptote of the curve)
Xmax = π (the period is π/2; two periods is π)
Ymin = −5, Ymax = 5 (the range is all ; this shows enough of the curve)

We must remember to enter the function as y₁ = 0.5(tan 2x)^-1 , 1 because cot x= (tan x)⁻¹. The graphing calculator view is shown in Fig. 10.28. We can view many more cycles of the curve with appropriate window settings

NORMAL FLOAT AUTO REAL RADIAN MP 0 Fig. 10.28 0