[Term Entry] PyTorch Tensor Operations: .cosh()

content/pytorch/concepts/tensor-operations/terms/cosh/cosh.md

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+---
+Title: '.cosh()'
+Description: 'Returns the hyperbolic cosine of the given input.'
+Subjects:
+  - 'Computer Science'
+  - 'Machine Learning'
+Tags:
+  - 'Functions'
+  - 'Machine Learning'
+  - 'Python'
+  - 'Tensor'
+CatalogContent:
+  - 'intro-to-py-torch-and-neural-networks'
+  - 'paths/computer-science'
+---
+
+In PyTorch, the **`.cosh()`** function computes the hyperbolic cosine of the input [tensor](https://www.codecademy.com/resources/docs/pytorch/tensors). Hyperbolic functions like `.cosh()` are often used in signal processing, physics simulations, and certain neural network transformations.
+
+## Syntax
+
+```pseudo
+torch.cosh(input, *, out=None)
+```
+
+**Parameters:**
+
+- `input`: The input tensor containing elements for which to compute the hyperbolic cosine.
+- `out` (Optional): The output tensor to store the result. If provided, the result is written to this tensor in-place.
+
+**Return value:**
+
+A tensor with the same shape as `input`, where each element is hyperbolic cosine of given element. If `out` is specified, the returned tensor is the same as `out`.
+
+## Example
+
+This example demonstrates the usage of the `.cosh()` function:
+
+```py
+import torch
+
+# Input tensor
+a = torch.tensor([ 0.1632,  1.1835, -0.6979, -0.7325])
+
+# Calculates hyperbolic cosine
+out = torch.cosh(a)
+
+# Print the result
+print(out)
+```
+
+Here is the output:
+
+```shell
+tensor([ 1.0133,  1.7860,  1.2536,  1.2805])
+```