Answer:
[tex]\tan(\theta) \approx 1.6910[/tex]
Step-by-step explanation:
The trigonometric ratio tangent is defined as:
[tex]\rm \tan(\theta) = \dfrac{opposite}{adjacent}[/tex]
In the context of a right triangle formed by vertices on the circumference and at the center of the unit circle, this ratio becomes:
[tex]\tan(\theta)=\dfrac{y}{x}[/tex]
where:
- [tex](x,y)[/tex] is the triangle's vertex on the circumference.
Plugging in the given x- and y-coordinates, we get:
[tex]\tan(\theta)=\dfrac{-0.8607}{0.5090}[/tex]
[tex]\boxed{\tan(\theta) \approx 1.6910}[/tex]
