In the figure, α and β are positive angles. (a) Write α as a function of β.

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In the figure, α and β are positive angles.
18 19

(a) Write α as a function of β.
(b) Use a graphing utility to graph the function in part (a). Determine its domain and range.
(c) Use the result of part (a) to write c as a function of β.
(d) Use the graphing utility to graph the function in part(c). Determine its domain and range.
(e) Complete the table. What can you infer?

0.4 0.8 | 1.2 1.6 2.0 2.4 2.8
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