Answer :

Type on calculator:
Tan^-1(2)
This gives 63.4 to the nearest 10th

Answer:

[tex]x\approx 63.4^{\circ}[/tex]

Step-by-step explanation:

We have been given a trigonometric equation [tex]\text{tan}(x)=2[/tex]. We are asked to solve for x.

To find the value of x, we will use inverse tangent (arctan) as shown below:

[tex]x=\text{tan}^{-1}(2)[/tex]

Upon using a calculator, we will get:

[tex]x=63.43494882^{\circ}[/tex]

Upon rounding our answer to nearest tenth, we will get:

[tex]x\approx 63.4^{\circ}[/tex]

Therefore, the value of x is approximately 63.4 degrees.