Question

Please help i am very stressed :(

Answer 1

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.

`\tan(x) = (1)/( √(3) )`

`x = \tan {}^( - 1) ( (1)/( √(3) ) )`

30°

`x = 30°`

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.