Question

4 cos x = 2 корень 3

Answer 1

4 cos x = 2√3

cos x = 2√3 / 4

cos x = √3/2

x = + - π/6 + 2πn, n∈Z

Answer 2

Без подробного решения, просто ответ

Answer 3

To solve the equation 4 cos(x) = 2√3, we can begin by isolating the cosine term:

4 cos(x) = 2√3

Divide both sides of the equation by 4:

cos(x) = (2√3)/4

Simplify the right side:

cos(x) = √3/2

Now, we need to find the values of x that satisfy this equation. The cosine function is positive in the first and fourth quadrants, and it equals √3/2 at 30 degrees (π/6 radians) and 330 degrees (11π/6 radians). Therefore, the solutions for x are:

x = π/6 + 2πn or x = 11π/6 + 2πn

where n is an integer representing any additional complete revolutions around the unit circle.

In degrees, the solutions are:

x = 30° + 360°n or x = 330° + 360°n

where n is an integer.