Engineering trignometric functions on complex numbers
Excel Function IMSINH
The IMSINH() function returns the sinh() value of a specified complex number.
The sinh defines the hyperbolic function with respect to sine.
The formula for sinh of a complex number is as given below:
| Complex Number1 | IMSINH | Formula |
| 2+5i | 1.02880314965993-3.60766077421316i | =IMSINH(L4) |
| 4+2.3i | -18.1826174511581+20.363891561153i | =IMSINH(L5) |
| 6+5.7i | 168.372551327245-111.081884528522i | =IMSINH(L6) |
| 1.4+8i | -0.277075932842992+2.12800913438628i | =IMSINH(L7) |
| 2-8i | -0.527708311960863-3.72215933238454i | =IMSINH(L8) |
Excel Function IMCOSH
The IMCOSH() function returns the cosh() value of a specified complex number.
The cosh defines the hyperbolic function with respect to cosine.
The formula for cosh of a complex number is as given below:
| Complex Number1 | IMCOSH | Formula |
| 2+5i | 1.06719265187312-3.47788448589916i | =IMCOSH(L18) |
| 4+2.3i | -18.1948207221641+20.3502334937693i | =IMCOSH(L19) |
| 6+5.7i | 168.374620373378-111.080519515535i | =IMCOSH(L20) |
| 1.4+8i | -0.312955799433597+1.88403639451836i | =IMCOSH(L21) |
| 2-8i | -0.547399600247289-3.58826425385529i | =IMCOSH(L22) |
Excel Function IMCSCH
The IMCSCH() function returns the cosech() value of a specified complex number.
The cosech defines the hyperbolic function with respect to cosecant.
The formula for cosech of a complex number is as given below:
| Complex Number1 | IMCSCH | Formula |
| 2+5i | 0.07310136248328+0.256341476073085i | =IMCSCH(L31) |
| 4+2.3i | -0.0243965160444408-0.0273232392714327i | =IMCSCH(L32) |
| 6+5.7i | 0.0041380868483831+0.00273005594936724i | =IMCSCH(L33) |
| 1.4+8i | -0.0601659638955466-0.462088927880395i | =IMCSCH(L34) |
| 2-8i | -0.0373388751400434+0.263367544935622i | =IMCSCH(L35) |
Excel Function IMSECH
The IMSECH() function returns the sech() value of a specified complex number.
The sech defines the hyperbolic function with respect to secant.
The formula for sech of a complex number is as given below:
| Complex Number1 | IMSECH | Formula |
| 2+5i | 0.0806366805126768+0.262787660369676i | =IMSECH(L44) |
| 4+2.3i | -0.0244165639948333-0.0273090230455054i | =IMSECH(L45) |
| 6+5.7i | 0.00413809768049731+0.00272999600020687i | =IMSECH(L46) |
| 1.4+8i | -0.0857992713039738-0.516523260001578i | =IMSECH(L47) |
| 2-8i | -0.0415474527144603+0.272348096978318i | =IMSECH(L48) |