Update math-functions.md

Выполнил описание некоторых математических функций.

docs/en/sql-reference/functions/math-functions.md

@@ -111,4 +111,306 @@ Accepts a numeric argument and returns a UInt64 number close to 2 to the power o
 
 Accepts a numeric argument and returns a UInt64 number close to 10 to the power of x.
 
+## cosh(x) {#coshx}
+
+[Hyperbolic cosine](https://in.mathworks.com/help/matlab/ref/cosh.html).
+
+**Syntax**
+
+``` sql
+cosh(x)
+```
+
+**Parameters**
+
+-   `x` — The angle, in radians. Values are from the interval: `-∞ < x < +∞`. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Returned value**
+
+-   Values are from the interval: `1 <= cosh(x) < +∞`.
+
+Type: [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Example**
+
+Query:
+
+``` sql
+SELECT cosh(0);
+```
+
+Result:
+
+``` text
+┌─cosh(0)──┐
+│        1 │
+└──────────┘
+```
+
+## acosh(x) {#acoshx}
+
+[Inverse hyperbolic cosine](https://www.mathworks.com/help/matlab/ref/acosh.html).
+
+**Syntax**
+
+``` sql
+acosh(x)
+```
+
+**Parameters**
+
+-   `x` — The angle, in radians. Values are from the interval: `1 <= x < +∞`. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Returned value**
+
+-   Values are from the interval: `0 <= acosh(x) < +∞`.
+
+Type: [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Example**
+
+Query:
+
+``` sql
+SELECT acosh(1);
+```
+
+Result:
+
+``` text
+┌─acosh(1)─┐
+│        0 │
+└──────────┘
+```
+
+**See Also**
+
+-   [cosh(x)](../../sql-reference/functions/math-functions.md#coshx)
+
+## sinh(x) {#sinhx}
+
+[Hyperbolic sine](https://www.mathworks.com/help/matlab/ref/sinh.html).
+
+**Syntax**
+
+``` sql
+sinh(x)
+```
+
+**Parameters**
+
+-   `x` — The angle, in radians. Values are from the interval: `-∞ < x < +∞`. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Returned value**
+
+-   Values are from the interval: `-∞ < sinh(x) < +∞`.
+
+Type: [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Example**
+
+Query:
+
+``` sql
+SELECT sinh(0);
+```
+
+Result:
+
+``` text
+┌─sinh(0)──┐
+│        0 │
+└──────────┘
+```
+
+## asinh(x) {#asinhx}
+
+[Inverse hyperbolic sine](https://www.mathworks.com/help/matlab/ref/asinh.html).
+
+**Syntax**
+
+``` sql
+asinh(x)
+```
+
+**Parameters**
+
+-   `x` — The angle, in radians. Values are from the interval: `-∞ < x < +∞`. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Returned value**
+
+-   Values are from the interval: `-∞ < asinh(x) < +∞`.
+
+Type: [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Example**
+
+Query:
+
+``` sql
+SELECT asinh(0);
+```
+
+Result:
+
+``` text
+┌─asinh(0)─┐
+│        0 │
+└──────────┘
+```
+
+**See Also**
+
+-   [sinh(x)](../../sql-reference/functions/math-functions.md#sinhx)
+
+## atanh(x) {#atanhx}
+
+[Inverse hyperbolic tangent](https://www.mathworks.com/help/matlab/ref/atanh.html).
+
+**Syntax**
+
+``` sql
+atanh(x)
+```
+
+**Parameters**
+
+-   `x` — The angle, in radians. Values are from the interval: `–1 < x < 1`. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Returned value**
+
+-   Values are from the interval: `-∞ < atanh(x) < +∞`.
+
+Type: [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Example**
+
+Query:
+
+``` sql
+SELECT atanh(0);
+```
+
+Result:
+
+``` text
+┌─atanh(0)─┐
+│        0 │
+└──────────┘
+```
+
+## atan2(y, x) {#atan2yx}
+
+The [function](https://en.wikipedia.org/wiki/Atan2) is defined as the angle in the Euclidean plane, given in radians, between the positive x axis and the ray(`r`) to the point `(x, y) ≠ (0, 0)`.
+
+**Syntax**
+
+``` sql
+atan2(y, x)
+```
+
+**Parameters**
+
+-   `y` — y axis coordinate of the point through which the ray passes. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+-   `x` — x axis coordinate of the point through which the ray passes. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Returned value**
+
+-   The angle `θ` such that `−π < θ ≤ π` and, for some `r > 0`, in radians.
+
+Type: [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Example**
+
+Query:
+
+``` sql
+SELECT atan2(1, 1);
+```
+
+Result:
+
+``` text
+┌────────atan2(1, 1)─┐
+│ 0.7853981633974483 │
+└────────────────────┘
+```
+
+## hypot(x, y) {#hypotxy}
+
+The [function](https://en.wikipedia.org/wiki/Hypot) is defined to calculate the length of the hypotenuse of a right-angle triangle. It was designed to avoid errors arising due to limited-precision calculations performed on computers. The function avoids problems that occur when squaring very large or very small numbers.
+
+**Syntax**
+
+``` sql
+hypot(x, y)
+```
+
+**Parameters**
+
+-   `x` — The first cathetus of a right-angle triangle. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+-   `y` — The second cathetus of a right-angle triangle. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Returned value**
+
+-   The length of the hypotenuse of a right-angle triangle.
+
+Type: [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Example**
+
+Query:
+
+``` sql
+SELECT hypot(1, 1);
+```
+
+Result:
+
+``` text
+┌────────hypot(1, 1)─┐
+│ 1.4142135623730951 │
+└────────────────────┘
+```
+
+## log1p(x) {#log1px}
+
+The [function](https://en.wikipedia.org/wiki/Natural_logarithm#lnp1) calculates `log(1 + x)`, compensating for the roundoff in `1+x`. `log1p(x)` is more accurate than `log(1+x)` for small values of `x`. For small `x`, `log1p(x)` is approximately `x`, whereas `log(1+x)` can be zero.
+
+**Syntax**
+
+``` sql
+log1p(x)
+```
+
+**Parameters**
+
+-   `x` — Values are from the interval: `-1 < x < +∞`. [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Returned value**
+
+-   Values are from the interval: `-∞ < log1p(x) < +∞`.
+
+Type: [Float64](../../sql-reference/data-types/float.md#float32-float64).
+
+**Example**
+
+Query:
+
+``` sql
+SELECT log1p(0);
+```
+
+Result:
+
+``` text
+┌─log1p(0)─┐
+│        0 │
+└──────────┘
+```
+
+**See Also**
+
+-   [log(x)](../../sql-reference/functions/math-functions.md#logx-lnx)
+
 [Original article](https://clickhouse.tech/docs/en/query_language/functions/math_functions/) <!--hide-->