Why a high end cassette tape deck sound better than CD?

I'm not sure what you're asking but, all other things bring equal, a cassette of any type does NOT “sound better” than a CD.

This is the stair step wave output from a Digital to Analog Convertor.

Look up the term 'head room' with respect to audio.

Also, there was a device that was called a 'click, pop suppressor' that got rid of the unwanted noises.

That applied to records.

For tapes, you needed a 'tape head demagnetizer' and track cleaner every once in a while.

Dad used to talk about those things.

I noticed that too. Back in the days, if I really liked an album, I would record the first "play" of a brand new vinyl or cassette to a metal tape.

I hate the scratches on vinyl and I hate that cassettes wear out (even metal) but I also hate that CDs sound dull to me. Now that the most popular form of entertainment comes from Bluetooth speakers with tin-can audio quality, the poor sound of highly compressed mp3 files don't matter much anyway. Goodbye Hi-Fi!

The world is analog, your ears are analog, drums and guitars are analog so naturally

it sounds better.

Even if cassettes did sound better, you just said most people wouldn't be able to hear it. And given the choice between a $100 CD player and $15 album, or a $5000 Nakamichi Dragon and absolutely nothing to listen to because type II tapes haven't been made in decades, the choice is pretty obvious.  If distortion is desirable, then just buy a tube amp and play CDs, or better yet, FLAC, through it.

In short, if quality is imperceptibly different, then the format that is cheaper, more reliable, and doesn't wear out (CD) is better. And if the distortion of tapes is somehow "better" to you, then you would be better off with a low-end deck. Eliminating noise and distortion is the entire point of high-end machines and metal tape.

whats better the sample rate of 22khertz from a cassette or the sample rate of a cd which is 44khertz...???? simple answer is you got a crappy copy on cd , pay more for a cd with better sound , and which last longer a cd or a cassette !!! Go away troll to you learn how a cd is made .

Analog is not as compressed and anything written on CD is. Compression is a loss of information and data and could resort in the sound being distorted. 

Try finding a digitally remastered version of that cassette album and this might fix your problem. 

Someone with good hearing can detect distortion below 0.1%

Analog compact cassette is not as good as CD, no matter what machine or tape is used.

Analog tape systems also need equalisation and record bias to compensate for lack of linearity and noise introduced.

And both tape the tape heads wear slightly with every pass of a tape through the machine.

The playback with cd (or dvd / blu-ray) is optical and does not cause wear or degradation to the discs.

It can be extremely good and completely acceptable for general listening, but so can high bitrate MP3 - it does not mean either is as good as CD.

i find that cds sound way better.