Question

Косинус икс равно корень из двух деленное на 2

Answer 1

$cosx= \frac{ \sqrt{2} }{2}$
Т.к. $cos \frac{ \sqrt{2} }{2}$ = 45°=$\frac{ \pi }{4}$, то мы получим такой ответ:
$x=б \frac{ \pi }{4}+2 \pi k$, поскольку $cos$ положителен в первой четверти, и отрицателен в четвёртой.

Answer 2

Cosine of x equals the square root of 2 divided by 2

The equation cos(x) = √2/2 represents the cosine of x, where x is an angle, and the value of the cosine function is equal to the square root of 2 divided by 2. This equation can be used to find the value of x that satisfies this condition.

To solve this equation, we can take the inverse cosine (also known as arccosine) of both sides of the equation. This will give us the value of x that satisfies the equation. The inverse cosine function is denoted as arccos or cos^(-1).

The solution to the equation cos(x) = √2/2 is given by:

x = ± arccos(√2/2) + 2πn

where n is an integer representing the number of complete cycles or revolutions around the unit circle.

Therefore, the values of x that satisfy the equation are x = ± π/4 + 2πn, where n is an integer.

Please note that the values of x can be expressed in radians or degrees, depending on the context. In this case, the values are given in radians.