Question

2 cos x/4 - корень из 3 =0

Answer 1

Что не понятно, спрашивай

Answer 2

To solve the equation 2cos(x/4) - √3 = 0, we'll follow these steps:

Step 1: Move the constant term (√3) to the other side of the equation. Step 2: Divide by the coefficient of the cosine term (2). Step 3: Take the inverse cosine (arccos) of both sides to isolate x. Step 4: Simplify and find the solutions for x.

Let's go through these steps:

Step 1: 2cos(x/4) - √3 = 0 2cos(x/4) = √3

Step 2: cos(x/4) = √3 / 2

Step 3: x/4 = arccos(√3 / 2)

Step 4: To find x, multiply both sides by 4: x = 4 * arccos(√3 / 2)

Now, we need to calculate the value of arccos(√3 / 2) to find the solution for x. The value of arccos(√3 / 2) is π/6 (or 30 degrees).

Therefore, the solution for x is: x = 4 * π/6 x = 2π/3 (or 120 degrees)