Sketching the Graph of a Trigonometric Function In Exercises $55-66,$ sketch the graph of the function.$$y=1+\sin \left(x+\frac{\pi}{2}\right)$$

Graphical Reasoning In Exercises 67 and $68,$ find $a, b,$ and $c$ such that the graph of the function matches the graph in the figure.$$y=a \cos (b x-c)$$

Graphical Reasoning In Exercises 67 and $68,$ find $a, b,$ and $c$ such that the graph of the function matches the graph in the figure.$$y=a \sin (b x-c)$$

Think About It You are given the value of tan $\theta$ . Is it possible to find the value of sec $\theta$ without finding the measure of $\theta ?$ Explain.

Restricted Domain Explain how to restrict the domain of the sine function so that it becomes a one-to-one function.

Sketching the Graph of a Trigonometric Function In Exercises $55-66,$ sketch the graph of the function.$$y=1+\cos \left(x-\frac{\pi}{2}\right)$$

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Okay. So if we have our original co sign graph look, something like this and our new graph, this Coach Coast, I'm shifted to the right pi over two units and an up one. So then it looks something like this.

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## Discussion

## Video Transcript

Okay. So if we have our original co sign graph look, something like this and our new graph, this Coach Coast, I'm shifted to the right pi over two units and an up one. So then it looks something like this.

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