TANH Function in Excel

Part 1: Introduce

📌 Definition

The TANH function in Excel returns the hyperbolic tangent of a number.

📌 Purpose

This function is particularly beneficial when normalizing data. In mathematics and various fields, the hyperbolic tangent of a number can be a useful metric.

📌 Syntax & Arguments


Where the argument is:

  • number – This is a mandatory argument, which can be a real number or a reference to a cell containing a number.

📌 Return value

The function will return the hyperbolic tangent of the specified number.

📌 Remarks

The result will always be between -1 and 1.

Part 2: Examples

📌 Example 1: Sales Growth Analysis

Purpose: Determine the relation between projected and actual sales growth.

1YearProjected Growth (%)FormulaResult

Explanation: The TANH of the projected growth percentage can help businesses understand how growth is expected to stabilize over time.

📌 Example 2: Customer Feedback Analysis

Purpose: Measure the intensity of customer feedback scores.

1Feedback IDScoreFormulaResult

Explanation: Positive feedback scores nearer to 1 indicate strong positive feedback, whereas scores closer to -1 show strong negative feedback.

📌 Example 3: Evaluating Mathematical Functions

Purpose: Explore the behavior of the hyperbolic tangent function for different mathematical values.

1ValueFunction ExpressionFormulaResult

Explanation: This table helps visualize how the hyperbolic tangent function behaves for various mathematical inputs. The function compresses the input range between -1 and 1.

📌 Example 4: Normalizing Data in Trigonometry

Purpose: Normalize angles in radians for further trigonometric analyses.

1Angle (radians)Normalized ValueFormulaResult

Explanation: When working with angles in trigonometry, especially in radians, the TANH function can help normalize values, making them suitable for specific calculations or graphical representations.

📌 Example 5: Transforming Linear Data

Purpose: Utilize the TANH function to compress linearly increasing values into a -1 to 1 range.

1Input ValueTransformed ValueFormulaResult

Explanation: This example showcases the ability of the TANH function to transform a broad range of linear data into the interval between -1 and 1. This property is beneficial for normalizing data or handling significant input-value variations.

Part 3: Tips and Tricks

  1. Ensure Your Data Is Suitable: Before using the TANH function, ensure your data ranges between -1 and 1 for more meaningful results.
  2. Use With Neural Networks: TANH can be a crucial activation function in particular neural network layers, as it scales values to a -1 to 1 range.
  3. Pair with other Functions: Combine TANH with other Excel functions for more advanced data manipulation.

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