Answer:
Option D.
Step-by-step explanation:
We have to solve the trigonometric expression give below.
[tex]tan(x+\frac{\pi }{3})[/tex]
[tex]=\frac{tanx+tan\frac{\pi }{3}}{1-tanx.tan\frac{\pi }{3}}[/tex]
[Since [tex]tan(a+b)=\frac{tana+tanb}{1-tana.tanb}[/tex]]
Now we place the value of [tex]tan\frac{\pi }{3}=\sqrt{3}[/tex]
[tex]=\frac{tanx+\sqrt{3}}{1-tanx\sqrt{3}}[/tex]
Therefore, option D. is the answer.
