BatyrzhanQZ
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- Dec 15, 2022
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There is a right triangle with hypotenuse = 1.
The length of the cathets (legs) changes while the length of the hypotenuse remains 1.
The origin of coordinates is at the vertex of the right angle.
An arbitrary change in the length of any cathet affects the probability that the ends of the other cathet will converge at the origin.
At the same time, it is known that this probability is equal to zero, since the ends of the cathet cannot converge at the origin.
However, the probability of the ends of the cathet to converge at the origin varies depending on the distance between the ends of this cathet. That is, the smaller the distance between the ends of the cathet, the greater the probability of its ends to converge at the origin. Find and describe this probability algebraically and trigonometrically (and exponentially).
The length of the cathets (legs) changes while the length of the hypotenuse remains 1.
The origin of coordinates is at the vertex of the right angle.
An arbitrary change in the length of any cathet affects the probability that the ends of the other cathet will converge at the origin.
At the same time, it is known that this probability is equal to zero, since the ends of the cathet cannot converge at the origin.
However, the probability of the ends of the cathet to converge at the origin varies depending on the distance between the ends of this cathet. That is, the smaller the distance between the ends of the cathet, the greater the probability of its ends to converge at the origin. Find and describe this probability algebraically and trigonometrically (and exponentially).
