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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle TANH(z)=\frac{e^z-e^{-z}}{e^z+e^{-z}}} ie, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{SINH(z)} {COSH(z)}} or $-iTAN(iz)$, where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i} is the imginary unit and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=\sqrt{-1}}
• Also relation between Hyperbolic & Trigonometric function is $Tan(iz)=iTanh(z)$ & Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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