Manuals/calci/TANH

TANH(z)

• where z is any real number

Description

• This function gives the hyperbolic Tan of 'z'.
• It is also called as Circular function.
• Here $TANH(z)={\frac {e^{z}-e^{-z}}{e^{z}+e^{-z}}}$ ie, ${\frac {SINH(z)}{COSH(z)}}$ or $-iTAN(iz)$, where $i$ is the imginary unit and $i={\sqrt {-1}}$
• Also relation between Hyperbolic & Trigonometric function is $Tan(iz)=iTanh(z)$ & $Tanh(iz)=iTan(z)$
• TANH(-z)=-TANH(z)

Examples

TANH(z)

• z is any real number.

TANH(z)	Value
TANH(0)	0
TANH(1)	1.5574077246549023
TANH(10)	1

See Also

• TAN

• SINH

• COSH

References

• List of Trigonometric Functions
• Hyperbolic Function