The COTH function in Excel is utilized to calculate the cotangent of an angle measured in radians. This function is particularly useful in fields such as engineering, physics, and mathematics, where trigonometric calculations are frequently required. By using COTH, users can efficiently perform cotangent calculations without needing to rely on external tools.

Syntax

COTH(angle)

• angle: This is the angle in radians for which the cotangent is calculated.

Example #1

=COTH(1)

This calculates the cotangent of 1 radian, resulting in approximately 0.6421.

Example #2

=COTH(π/4)

This computes the cotangent of 45 degrees (or π/4 radians), yielding a result of approximately 1.

Example #3

=COTH(0.5)

In this case, the cotangent of 0.5 radians is calculated, resulting in approximately 1.5574.

Error handling

• VALUE!: This error occurs when the input for the angle is not a numeric value.
• NUM!: This error arises if the input angle leads to an undefined cotangent, such as at whole multiples of π.

Conclusion

In summary, the COTH function is a valuable tool for efficient cotangent calculations in Excel. It simplifies trigonometric computations by allowing users to leverage the cotangent formula directly within their spreadsheets, thus enhancing productivity in various analytical tasks.