Question

Найдите наименьший положительный корень уравнения Под корнем 3 × tgx-1=0 HELP MEEEE PLEASEEEE

Answer 1

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Answer 2

Finding the Smallest Positive Root of the Equation

To find the smallest positive root of the equation 3 × tan(x) - 1 = 0, we can use mathematical techniques to solve for the value of x that satisfies the equation.

First, let's solve the equation step by step.

Solving the Equation

The equation 3 × tan(x) - 1 = 0 can be rearranged to solve for tan(x):

3 × tan(x) = 1

tan(x) = 1/3

To find the value of x, we can use the inverse tangent function (arctan) to solve for x:

x = arctan(1/3)

Calculating the Value

Using a calculator or mathematical software, we can calculate the value of arctan(1/3) to find the smallest positive root of the equation.

The value of arctan(1/3) is approximately 0.3218 radians.

Therefore, the smallest positive root of the equation 3 × tan(x) - 1 = 0 is approximately 0.3218 radians.

I hope this helps! If you have any more questions or need further assistance, feel free to ask.