please help i am very stressed :(
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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.