Question

Tan(x) = 2

Solve for x. Round the answer to the nearest tenth.

Answer 1

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

Answer 2

`x\approx 63.4^(\circ)`

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.