find all solutions of the equation.\ntan x = \\sqrt{3}\nselect the correct choice below and, if necessary…

find all solutions of the equation.\ntan x = \\sqrt{3}\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. x=\n(simplify your answer. type your answer(s) as an expression, using n as the variable, in the form a + bn where 0\nfractions for any numbers in the expression. use a comma to separate answers as needed.)\nb. there is no solution.

find all solutions of the equation.\ntan x = \\sqrt{3}\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. x=\n(simplify your answer. type your answer(s) as an expression, using n as the variable, in the form a + bn where 0\nfractions for any numbers in the expression. use a comma to separate answers as needed.)\nb. there is no solution.

Answer

Explanation:

Step1: Recall the basic tangent value

We know that (\tan\left(\frac{\pi}{3}\right)=\sqrt{3}).

Step2: Use the period of the tangent function

The period of (y = \tan x) is (\pi). So the general solution of the equation (\tan x=\sqrt{3}) is (x=\frac{\pi}{3}+n\pi), where (n\in\mathbb{Z}).

Answer:

(x = \frac{\pi}{3}+n\pi)