Respuesta :

Step-by-step explanation:

The First part is correct.

The domain is All set of inputs of a function.

We know that tangent has a period of 180.

Since our interval has a distance of 180, and tan 0 isn't 1 over root of 3, we will have only 1 domain.

So let solve the solution.

[tex] \tan(x) = \frac{1}{ \sqrt{3} } [/tex]

[tex]x = \tan {}^{ - 1} ( \frac{1}{ \sqrt{3} } ) [/tex]

30°

[tex]x = 30°[/tex]

So the domain of this function is [30°].

Part C: Tangent has a period of 180 degrees, so our solution will occur every 180 degrees.

We want full revolutions, so let use a variable, let say n to represent a interger.

Part C: The general solution is

30°+(180n)°, where n is a interger( 1,2,3.....)

Part D: The answer of tan x=1/sqr root of 3 is , in degrees, of

x∈N, 30+180n, where n is a interger.

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