Chapter 6.5, Problem 17E

To determine

To state: The vertical shift and the equation of the midline for $y=\sin \frac{\theta }{2}+\frac{1}{2}$ . Then graph the function.

Answer to Problem 17E

  $\begin{array}{l}\text{Vertical shift: }\frac{1}{2}\\ \text{The graph}\end{array}$

Explanation of Solution

Given information: $y=\sin \frac{\theta }{2}+\frac{1}{2}$

Calculation:

The vertical shift is $\frac{1}{2}$

The graph:

The graph given in blue ‘.’ is $\sin \left(\frac{\theta }{2}\right)$ . The graph with $\frac{1}{2}$ vertical shift is given in red.