The IMSINH function returns the hyperbolic sine of the given complex number.
For example, a given complex number "x+yi" returns "sinh(x+yi)."
Parts of an IMSINH function
IMSINH(number)
| Part | Description | Notes |
number |
The complex number for which you want the hyperbolic sine. | 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
IMSINH(COMPLEX(4,6))
IMSINH(4)
IMSINH("2+3i")
Notes
The IMSINH function returns an error if the given number isn't a valid complex number.
Examples
| A | B | |
| 1 | Formula | Result |
| 2 | =IMSINH(COMPLEX(4,1)) |
14.7448051885587+22.9790855778861i |
| 3 | =IMSINH(3.5) |
16.542627287635 |
| 4 | =IMSINH("3+2i") |
-4.16890695996657+9.15449914691143i |
Related functions
IMSIN: The IMSIN function returns the sine of the given complex number.
COMPLEX: The COMPLEX function creates a complex number, given real and imaginary coefficients.
IMCOSH: The IMCOSH function returns the hyperbolic cosine of the given complex number.