Respuesta :

Answer:

[tex]Tan(300^{\circ})= - \sqrt{3}[/tex]

Step-by-step explanation:

Tan (300°) can be written as Tan (360°-60°)   ---1

Using identity :

[tex]Tan(360^{\circ}-\theta)=- Tan\theta[/tex]

Using 1

So, [tex]Tan(360^{\circ}-60^{\circ})= - Tan60^{\circ}[/tex]

The value [tex] Tan60^{\circ}=\sqrt{3}[/tex]

So, [tex]Tan(300^{\circ})= - \sqrt{3}[/tex]

Thus the exact value of    [tex]Tan(300^{\circ})= - \sqrt{3}[/tex]

 

Answer:

[tex]-\sqrt{3}[/tex]     or     Option A on E2020 Quiz

Step-by-step explanation: