The difference between Yours faithfully and Yours sincerely
When used as adjectives, yours faithfully means a polite formula to end a letter, especially when the recipient's name is unknown to the sender, for example in a business letter, whereas yours sincerely means a polite formula to end a letter, especially when the recipient's name is known to the sender.
check bellow for the other definitions of Yours faithfully and Yours sincerely
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Yours faithfully as an adjective (UK):
a polite formula to end a letter, especially when the recipient's name is unknown to the sender, for example in a business letter
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Yours sincerely as an adjective (idiomatic, chiefly, British):
a polite formula to end a letter, especially when the recipient's name is known to the sender