secant (n.) Look up secant at Dictionary.com
1590s, from Latin secantem (nominative secans) "a cutting," present participle of secare "to cut" (see section (n.)). First used by Danish mathematician Thomas Fincke in "Geometria Rotundi" (1583).
cosecant (n.) Look up cosecant at Dictionary.com
1706, from co, short for complement, + secant.