Changes

<div style="font-size:30px">'''TANH(z)'''</div><br/>

<div style="font-size:30px">'''TANH(x)'''</div><br/>

* where z is any real number

* where x is any real number.

 

==Description==

==Description==

*This function gives the hyperbolic Tan of 'z'.

*This function gives the hyperbolic Tan of 'x'.

*It is also called as Circular function.

*It is also called as Circular function.

*Here <math>TANH(z)=\frac{e^z-e^{-z}}{e^z+e^{-z}}</math>  ie, <math>\frac{SINH(z)} {COSH(z)}</math> or <math>-iTAN(iz)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math>

*Here <math>TANH(x)=\frac{e^x-e^{-x}}{e^x+e^{-x}}</math>  ie, <math>\frac{SINH(x)} {COSH(x)}</math> or <math>-iTAN(ix)</math>, where <math>i</math> is the imginary unit and <math>i=\sqrt{-1}</math>

*Also relation between Hyperbolic & Trigonometric function is <math>Tan(iz)=iTanh(z)</math> & <math>Tanh(iz)= iTan(z)</math>

*Also relation between Hyperbolic & Trigonometric function is <math>Tan(ix)=iTanh(x)</math> & <math>Tanh(ix)= iTan(x)</math>

*TANH(-z)=-TANH(z)

*TANH(-x)=-TANH(x)

== Examples ==

== Examples ==

'''TANH(z)'''

'''TANH(x)'''

*'''z''' is any real number.

*'''x''' is any real number.

{|id="TABLE1" class="SpreadSheet blue"

{|id="TABLE1" class="SpreadSheet blue"

|- class="even"

|- class="even"

|'''TANH(z)'''

|'''TANH(x)'''

|'''Value'''

|'''Value'''