So, Where was I...Let's look at the Book of Genesis Ch, 37 talks about Joseph being given a coat or cloak depending on which version of the Bible is referenced but what is at the center of the argument,  is whether the translation of the phrase "ketonet passim."  Many scholars agree that if refers to a cloak reserved for princesses (more specifically virgin daughters of kings).  Now, keep in mind that a few scholars describe "ketonet passim" as being a tunic/robe with long sleeves, or ornate robe.  The argument is which translation or understanding is correct and the reason for the argument is because (coat of many colors) Joseph is seen as feminine especially when he is the court of the pharaoh, and because Egyptian men and women of the time wore make up.  Given one case or the other but when taken in all the facts, there is sufficient evidence that lends support to Cross-dressing.  

The only other time we see the term 'ketonet passim' is Princess Tamar the daughter of King David.  In the world of I.T. once is a glitch, twice...that means there is a problem, well the problems is the argument of Cross-dressing is that it is a sin against God.  BUT...

Another argument, Joan of Arc...A teenage girl wearing the armor of men, isn't that a sin but if it is a sin then why would a girl be called a Saint under the Catholic Church.  Deut 22:5 "A woman must not wear men's clothing nor a man wear women's clothing, for the Lord your God detests anyone who does."  The Hebrew word for man is "ish" or "geber/gever."  Hebrew word "ish" translates to man or husband but "geber" refers to "strong man."  The idea of strong man is used throughout the Bible to define masculinity but the alternate and more accurate translation is "warrior." The Hebrew word for warriors apparel is "keli" or instrument of war. With these concepts in mind it easy to see why many scholars and Evangelicals twist the terms and Translations to their advantage.  With the idea of "geber" or warrior then one make the connection that a woman shall not put on a warriors clothing but does not forbid men from wearing women's clothing.  Where does Joan of Arc come into play?  Well, a double standard is enforce because Joan put the armor of man on and went into battle but she was Sainted and the rest of world was condemned or admonished.

Now, let's rewind to way back to earliest chapters of Genesis when God told humanity to go forth, be fruitful and multiply.  It would be easy to deduce that if women were on the battlefield then how could they bear children to populate the earth.  So, with the case of Joan of Arc any Biblical argument is rendered mute.

(https://adamericksen.org) Does the Bible Forbid Cross-Dressing?