Verified Answer :

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

Answer:

\(x\approx 63.4^{\circ}\)

Step-by-step explanation:

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

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

\(x=\text{tan}^{-1}(2)\)

Upon using a calculator, we will get:

\(x=63.43494882^{\circ}\)

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

\(x\approx 63.4^{\circ}\)

Therefore, the value of x is approximately 63.4 degrees.

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