High School

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Which of the following is a solution of the equation [tex]\tan(x) = \frac{\sqrt{3}}{3}[/tex]? Give your answer in radians.

1) 0.65

2) 1.05

3) 1.57

4) 2.09

Answer :

Final answer:

The equation tan(x) = √3/3 does not have a solution among the given options.

Explanation:

To find the solution of the equation tan(x) = √3/3, we need to determine the values of x that satisfy this equation. The solution can be found by taking the inverse tangent (arctan) of √3/3 using a calculator. The arctan of √3/3 is approximately 0.615. This value is not listed in the given options (0.65, 1.05, 1.57, 2.09), so none of the given options is a solution to the equation.

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