How to find an algebraic expression to graph using a tangent equation?

ferricman

New member
Joined
Mar 11, 2021
Messages
1
I am doing a math folio and am having trouble with a part that I can’t seem to solve. The question involves using previously found information to create an graphable expression which verifies a statement about an angle. I will attach an image for further context (the question is about part 2)
 

Attachments

  • image.jpg
    image.jpg
    1.6 MB · Views: 5
Seems like a straight-forward task ...

1. In terms of [MATH]x[/MATH], what are the values for [MATH]\tan{\alpha} \text{ and } \tan{\beta}[/MATH]?

2. What is the difference identity for tangent, i.e. [MATH]\tan(\alpha - \beta)[/MATH]?

Substitute the values found in (1) and use the difference identity to determine [MATH]\tan(\alpha - \beta)[/MATH] in terms of [MATH]x[/MATH].

... do the graph.
 
Top