Question

Чему равен arccos(cos(pi^2))? pi - число пи ^2 - возведение в квадрат Заранее спасибо

Answer 1

$arccos(cos(pi^2)) = 4pi - pi^2.$

Ответ: 4π – π².

Answer 2

Calculation of arccos(cos(pi^2))

To calculate the value of arccos(cos(pi^2)), we need to understand the properties of the arccosine function and the cosine function.

The arccosine function (arccos) is the inverse function of the cosine function (cos). It returns the angle whose cosine is equal to a given value.

The cosine function (cos) is a trigonometric function that returns the ratio of the adjacent side to the hypotenuse in a right triangle.

Now, let's calculate the value of arccos(cos(pi^2)).

The expression cos(pi^2) means taking the cosine of the square of pi.

Using the properties of the cosine function, we know that the cosine function has a period of 2*pi. This means that cos(x) = cos(x + 2*pi) for any value of x.

Since pi is already within the range of the principal branch of the arccosine function, we can simplify the expression to arccos(cos(pi^2)) = pi^2.

Therefore, arccos(cos(pi^2)) is equal to pi^2.

Please let me know if you need any further clarification.