Question

Tg 5x =1/корень (3), найти х

Answer 1

Tg x=a⇒x=arctga+πn -формула
5x=arctg √3/3+πn
5x=π/6+πn (разделим на 5)
x=π/30+πn/5

Answer 2

To find the value of x, we can start by simplifying the equation:

Tg(5x) = 1/√3

Since tg stands for the tangent function, we can rewrite the equation using the inverse tangent function (arctan or atan):

5x = arctan(1/√3)

Now, to find the value of x, we need to isolate x:

x = arctan(1/√3) / 5

Now, we can calculate the value of x using a calculator:

x ≈ 0.1830127 radians

Note: Make sure your calculator is in radians mode for accurate results. If you want the answer in degrees, you can convert it by multiplying the above value by 180/π:

x ≈ 0.1830127 * (180/π) ≈ 10.5 degrees