This is a very important question and one that has really cause division among different denominations in the church.
I wanna say something very clear,the phrase trouser is not in the Bible,there is no where in the Bible that the word trouser was ever used,so let's be clear on that.
The truth is as Christiains God wants us to dress very responsible and good but also look good and attractive.
It is not the wearing of trousers that makes one indescent,there are many dresses we have that today that are not trousers but are indescent clothes.
And also the part of the Bible that talks about how a man and woman should not put on each other clothes has been taken out of context to mean that God was talking about trousers;
Deuteronomy 22:5 The woman shall not wear that which pertaineth unto a man, neither shall a man put on a woman's garment: for all that do so are abomination unto the LORD thy God.
This scripture has been so misunderstood by believers.
There is no where that they say trousers are only for men and skirts for women, because if you go to a country like Scotland where men put on skirts and it's part of their tradition.
And one more thing, that scripture was under the Mosaic law and was strictly for the Jews then but all that have changed because we are not under the law but under grace, Christ has fulfilled the requirements of the law
Romans 10:4 For Christ is the end of the law for righteousness to every one that believeth.
My conclusion is as a Christain wearing trousers is never a sin, what God wants from us is to dress descent and responsible.
Deuteronomy 22:5 says: "A woman won't wear anything that identifies with a man, nor will a man put on a woman's bit of apparel, for all who do accordingly are a reviled thing to the Lord your God."
Similarly as other of the goals, this law may have been required for the most part because of the freethinker customs in the enveloping social orders. The Jamieson, Fausset and Brown Commentary clears up:
"Veils were acknowledged at particular events in skeptic havens. Maimonides… makes reference to that a man attired in a shaded female dress, to pay tribute to Venus, Ashtaroth, or Astarte, and a woman arranged in covering, worshiped at the sacred place of the statue of Mars…
"Asiatics, when they possessed with the affection for Ashtaroth, were adjusted, as demonstrated by Philocorus, refered to by Townley (in his adaptation of Maimonides, note 33), to exchange the male and female dresses. Honestly, all idolators disordered the sexes of their divine beings—addressing them every so often as male, at various events as female; and from this time forward, their admirers, male and female, fell well ordered into the custom, which ended up being extensively unavoidable, of changing their garments in acclimation to the sex of a particular glorious nature."
God's structure to Israel denied the all inclusive community from joining freethinker religious traditions into real love. Regardless of this direction, the present Christianity ordinarily mixes skepticism in with the affection for Christ.
Does Deuteronomy 22:5 limit women from wearing pants? No, it doesn't. All things considered, clothing "that identifies with a man" at the time the area was created would not have been fathomed to mean pants. Men in the Middle East through the chronicled setting of the Old and New Testaments did not expectedly wear pants, jeans or slacks; they wore robe-like bits of attire. Besides, in various social orders, for instance, in China, women have usually worn pants. The hallowed content simply more especially addresses and disallows transvestism and cross-dressing.
The basic principle irrefutably applies to today. Men should dress in a legitimately masculine manner and women should dress in an appropriately female manner. Articles of clothing creators make pants planned for men, and pants, slacks and pantsuits expected for women. The Bible underscores quietude, and for women, slacks are consistently more unpretentious than a short skirt.
God does not mean for this holy content to be fathomed in a phenomenal or abnormal way. For example, it's faultlessly fine for a woman to wear her loved one's old shirt when she's craftsmanship or to put on her male buddy's jacket when she's cool.