Question

2cos=1 РЕШИТЕ УРАВНЕНИЕ

Answer 1

Solving the Equation 2cos(x) = 1

To solve the equation 2cos(x) = 1, we can use trigonometric principles to find the value of x that satisfies the equation.

Step 1: Rewrite the Equation We can rewrite the equation as cos(x) = 1/2, as 2cos(x) = 1 is equivalent to cos(x) = 1/2.

Step 2: Find the Solutions The solutions for cos(x) = 1/2 can be found using the inverse cosine function. The solutions will be the angles whose cosine is equal to 1/2.

Step 3: Calculate the Solutions Using the inverse cosine function, we can find the solutions for x.

Step 4: Final Answer The solutions for the equation 2cos(x) = 1 are the angles x for which cos(x) = 1/2.

Let's calculate the solutions for cos(x) = 1/2.

The solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn, where n is an integer.

Therefore, the solutions for the equation 2cos(x) = 1 are x = π/3 + 2πn and x = 5π/3 + 2πn, where n is an integer.