hyperbolic function proof 1

Eh guy, i decided to create this note to prove some hyperbolic identity...... Enjoy... A famous hyperbolic equation that we all know is: $\cosh\^2{x}$ - $\sinh\^2{x}$ =1 have you ever imagined how this was proved? lets take a look at it! bold $proof$

from hyperbolic identity, $\cosh{x}$ = $\frac{\exp\^x + \exp\^-x}{2}$ and $\sinh{x}$ = $\frac{\exp\^x - \exp\^-x}{2}$ lets add $\coshx$ + $\sinhx$ = $\frac{\exp\^x + \exp\^-x}{2}$ + $\frac{\exp\^x - \exp\^-x}{2}$ using method of L.C.M, = $\frac{2\( exp\^x$ ) = bold $\exp\^x$ now lets subtract, $\coshx$ - $\sinhx$ = $\frac{\exp\^x + \exp\^-x}{2}$ - $\frac{\exp\^x - \exp\^-x}{2}$ = $\frac{2\( exp\^-x$ ) = bold $\exp\^-x$ then lets multiplty = $\coshx$ + $\sinhx$ * $\coshx$ - $\sinhx$
= $\exp\^x$ * $\exp\^-x$ = $\exp\^x$ * $\frac{1}{\exp\^x}$ =bold $1$ so guys, i hope you enjoyed this? like and share! :)

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
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`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
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