The IMCOSH function returns the hyperbolic cosine of the given complex number. For example, a given complex number "x+yi" returns "cosh(x+yi)."
Parts of an IMCOSH formula
IMCOSH(number)
| Part | Description | Notes |
number |
The complex number for which you want the hyperbolic cosine. | This can be either the result of the COMPLEX function, a real number interpreted as a complex number with imaginary parts equal to 0, or a string in the format “x+yi” where x and y are numeric. |
Sample formulas
IMCOSH(COMPLEX(4, 6))
IMCOSH(4)
IMCOSH("2+3i")
Notes
The IMCOSH function returns an error if the given number isn't a valid complex number.
Examples
| A | B | |
| 1 | Formula | Result |
| 2 | =IMCOSH(COMPLEX(4, 1)) |
14.7547011704838+22.963673499193i |
| 3 | =IMCOSH(3.5) |
16.5728246710573 |
| 4 | =IMCOSH("3+2i") |
-4.18962569096881+9.10922789375534i |
Related function
COMPLEX: The COMPLEX function creates a complex number, given real and imaginary coefficients.
IMCOS: The IMCOS function returns the cosine of the given complex number.
IMSINH: The IMSINH function returns the hyperbolic sine of the given complex number.