Purpose
Return value
Syntax
=IMSINH(complex_num)- complex_num - The complex number in the form "x+yi".
How to use
The Excel IMSINH function returns the hyperbolic sine of a complex number. For example, given 1+π/2i as input, the function returns -4.10319E-15 + 1.543080635i as output.
=IMSINH(COMPLEX(1, PI()/2)) // returns -4.10319E-15 + 1.543080635i
When the function's output is plotted over the complex plane, the real output along the real axis traces the shape of the SINH function.
=IMSINH(COMPLEX(x,0)) // returns SINH(x) + 0i
The imaginary output along the imaginary axis traces the shape of the SIN function.
=IMSINH(COMPLEX(0,y)) // returns 0 + SIN(y)i
Explanation
The function can be defined for complex input using the SIN, COS, SINH, and COSH functions, which take real numbers as input.
Related functions
COMPLEX Function
The Excel COMPLEX function returns the string representation of a complex number.
SINH Function
The Excel SINH function returns the hyperbolic sine of a number.
SIN Function
The Excel SIN function returns the sine of an angle given in radians. To supply an angle to SIN in degrees, multiply the angle by PI()/180 or use the RADIANS function to convert to radians.
