The noun "sarcasm" comes from the Ancient Greek σαρκασμός (sarkasmós) which is taken from σαρκάζειν (sarkázein) meaning "to tear flesh, bite the lip in rage, sneer".  Sarcasm means the use of irony to mock or convey contempt. The adjective sarcastic then comes to English via the from French words sarcastique, from sarcasme.  

The Oxford English Dictionary (OED) indicates that the noun "sarcasm" was first used in English in the 16th century.  The Oxford English Dictionary (OED) indicates that the noun "sarcasm" was first used in English in the 16th century, specifically in 1579.  According to the Oxford English Dictionary (OED), the earliest evidence for the adjective "sarcastic" is from 1695, specifically in the writings of John Edwards, a Church of England clergyman. 

Examples of "sarcastic" in a sentence:  
"I shall ignore your sarcastic tone."
"I get my sarcastic senseof humor from my mother." 
"I tried to talk to him but he got really sarcastic and nasty with me."
"She has a dry, slightly sarcastic wit and laughs a lot, and loudly."
"Her sarcastic remarks were often lost on those who didn't understand her dry humor". 
"The politician's sarcastic reply to the reporter's question did little to improve his public image". 
"He is often described as having a sarcastic wit, which he uses to great effect in his stand-up comedy routines".