In this question , we have to find the value of tan 30 and we need to write the answer in simplified form .
[tex]tan x = \frac{sin x}{ cos x}[/tex]
Substituting the values of sin (30) and cos(30, we will get
[tex]tan (30) = \frac{1/2}{ \sqrt{3} /2}[/tex]
Multiplying both numerator and denominator by 2, we will get
[tex]tan(30 ) = \frac{1}{ \sqrt3}[/tex]
TO simplify it, we need to multiply both numerator and denominator by square root 3.
[tex]tan(30) = \frac{ \sqrt 3}{ \sqrt3 * \sqrt 3} = \frac{ \sqrt 3}{3}[/tex]
