Answer:
Thus, the values of x are 70° and 250°
Step-by-step explanation:
Trigonometric Functions
The tangent is defined as:
[tex]\displaystyle \tan\theta=\frac{\sin\theta}{\cos\theta}[/tex]
Given a value for the tangent, there are two angles with the same tangent, one of them being [tex]\theta[/tex] and the other [tex]\theta[/tex]+180°.
We are given:
[tex]\tan x=2.7475[/tex]
The angle is the inverse tangent:
[tex]x=arctan (2.7475)[/tex]
Using a scientific calculator, we find the first angle:
x=70°
The second angle is found adding 180°:
x=70°+180°=250°
Thus, the values of x are 70° and 250°
