Weirdness is in graphs!

As you all already know how the graph of f(x)=sinxxf\left(x\right)=\frac{\sin x}{x} looks like, try graphing f(x)=sin(1(x))1xf\left(x\right)=\frac{\sin \left(\frac{1}{\left(x\right)}\right)}{\frac{1}{x}}. (Yes! You're allowed to graph it using an electronic graphing calculator, or use the Desmos Graphing Calculator.)

Try graphing the following too!

tan(xcos(1x))\tan \left(\frac{x}{\cos \left(\frac{1}{x}\right)}\right)

tan(x(secx))\tan \left(\frac{x}{\left(\sec x\right)}\right). (Nothing? Zoom out for the climax!)

The bombshell:

sin(cos(tan(csc(sec(cot(arcsin(arccos(arctan(arccsc(arcsec(arccot(x)))))))))))) \sin \left(\cos \left(\tan \left(\csc \left(\sec \left(\cot \left(\arcsin \left(\arccos \left(\arctan \left(\operatorname{arccsc}\left(\operatorname{arcsec}\left(\operatorname{arccot}\left(x\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)\right)

And your device starts lagging a bit too as you move towards the negative x-axis.

exln(sin(ecos(1(((x))))))\frac{e^x}{\ln \left(\sin \left(e^{\cos \left(\frac{1}{\left(\left(\left(x\right)\right)\right)}\right)}\right)\right)}

Seems as if the curve is a fan of the negative y-axis!

sin(1e1arccsc(x))\sin \left(\frac{1}{e^{\frac{1}{\operatorname{arccsc}\left(x\right)}}}\right)

Kindly move towards the negative x-axis.

yx=sec(20x) y^x=\sec \left(20x\right)

Clearly, this time the graphing calculator gave up!

You're free to share any such function which has such a peculiar curve in the comments section. Cheers! :D

GIF Credit: Reddit

Note by Arkajyoti Banerjee
4 years, 11 months ago

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Weird weird weird!!!

Athenkosi Bezana - 4 years, 11 months ago

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