Question

Cos(2x)=1 розвязать ровнение​

Answer 1

2х=2кПи
х=кПи........

Answer 2

To solve the equation cos(2x) = 1, we need to find the values of x that satisfy this equation. Recall that the cosine function has a range of [-1, 1].

When cos(2x) = 1, it means that the value of the cosine function is at its maximum, which is 1. This occurs when the angle (2x) is 0 degrees or any multiple of 360 degrees, as cosine is periodic with a period of 360 degrees.

So, the solutions for the equation cos(2x) = 1 are given by:

2x = 0 + 360k, where k is an integer.

To find the values of x, we can solve for x:

x = (0 + 360k) / 2 x = 180k, where k is an integer.

The solutions for x are all integer multiples of 180 degrees. In other words, x can take on any value of the form:

x = 180k, where k is an integer.

For example:

• When k = 0, x = 180 * 0 = 0 degrees
• When k = 1, x = 180 * 1 = 180 degrees
• When k = -1, x = 180 * -1 = -180 degrees
• And so on, for any integer value of k.