The COTH Function

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Welcome back to our regular blog of Excel functions from A to Z. Today we look at the COTH function.

The COTH Function

This function returns the hyperbolic cotangent of a hyperbolic angle. As clear as mud? like the points (cos t, sen t) They form a circle with a unit radius, points (cosh z, birth) form the right half of the equilateral hyperbola (see the figure following). Hyperbolic functions take a real argument called a hyperbolic angle. The size of a hyperbolic angle is twice the area of ​​its hyperbolic sector.. Hyperbolic functions can be defined in terms of the sides of a right triangle that covers this sector.

Hyperbolic functions occur in the solutions of many linear differential equations., like some cubic equations. What's more, in complex analysis, hyperbolic functions arise as the imaginary parts of sine and cosine, but that's a story for another day.

function_78_-_cosh_part_1-8173196

Essentially, COTH (N) is equal to COSH (N) divided by BORN (N). The COTH The function uses the following syntax to operate:

The COTH The function has the following arguments:

  • number: This is required.

It should also be noted that:

  • The hyperbolic cotangent is analogous to the ordinary cotangent (circular)
  • the absolute value of number must be less than 2 ^ 27
  • And number overcomes its limitations, COTH return the #ON ONE! error value
  • And number is a non-numeric value, COTH return the #VALUE! error value.

The following equation is used:

coth_function-6321600

Please, see my example below:

function_80_-_coth_part_2-9023312

Soon we will continue with our functions from A to Z of Excel. Keep checking: there is a new blog post every other business day.

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