Alpha and theta represent the same known or unknown angle?

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tigerwoods99
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I was wondering in terms of a mathematical approach to physics, whether alpha and theta represent the same known or unknown angle in the triangles.



Ex.. Vi = vo(sin)(theta)

or

Vi = vo(sin)(alpha)
 

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It represent whatever we define it to represent. Sometimes alpha is used, other times theta. Sometimes just one is used, and other times they are both used to represent different angles. Sometimes they are related in a way such as for instance letting alpha=theta/2.