Respuesta :

sqrt of 3......................................

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]

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