Question

Arcsin()-​

Answer 1

Ответ:

$\arcsin(-\frac{\sqrt{3}}{2})-\frac{5\pi}{3}=-\frac{\pi}{3}-\frac{5\pi}{3}=-\frac{6\pi}{3}=-2\pi$

Answer 2

The arcsin() function, also written as asin(), is the inverse trigonometric function for sine (sin). It takes a value as its argument and returns the angle whose sine is equal to that value. In mathematical notation, it is defined as follows:

$\text{arcsin}(x) = \sin^{-1}(x) = \theta$

Here, $x$ is a real number in the range of $[-1, 1]$, and $\theta$ is the angle in radians such that $\sin(\theta) = x$.

For example, if you want to find the angle whose sine is equal to 0.5, you can use the arcsin() function:

$\text{arcsin}(0.5) = \sin^{-1}(0.5) \approx 30^\circ$

This means that the arcsin of 0.5 is approximately 30 degrees.

Keep in mind that the output of the arcsin function is typically expressed in radians. If you want the result in degrees, you need to convert it accordingly, as shown in the example above.