Is this correct?

What is the exact value of the trigonometric expression in simplest form?

tan(2π/3) + 4cos(11π/6)= ?

 

tan(2π/3)= √3/2÷-1/2= √3/2 * -2/1= -√3

 

cos(11π/6)= √3/2

 

-√3 + 4√3/2 = -√3 + 2√3= √3

 

tan(2π/3) + 4cos(11π/6)= √3