Respuesta :
Answer:
The value of [tex]\tan (60^{\circ})[/tex] is [tex]\sqrt{3}[/tex]
Step-by-step explanation:
We need to find the value of [tex]\tan (60^{\circ})[/tex]
It can be calculated by the triangle XYZ as shown in figure-1
Since, the tangent is ratio of the opposite side to the adjacent.
[tex]\tan\theta = \frac{opposite}{adjacent}[/tex]
In the triangle XYZ
[tex]\tan(60^{\circ}) = \frac{XZ}{ZY}[/tex]
[tex]\tan(60^{\circ}) = \frac{\sqrt{3}}{1}[/tex]
[tex]\tan(60^{\circ}) = \sqrt{3}[/tex]
Therefore, the value of [tex]\tan (60^{\circ})[/tex] is [tex]\sqrt{3}[/tex]