Sine,cosine,。。。,secant,cosecant
Letssingasongabouttrig-functions
sin(2π+a)=sina
cos(2π+a)=cosa
tan(2π+a)=tana
whichisinductionformula1,andinductionformula2
sin(π+a)=—sina
cos(π+a)=—cosa
tan(π+a)=tana
sin(π-a)=sina
cos(π-a)=-cosa
tan(π-a)=-tana
theseareallthose"namedonotchange"
Aspigoestohalfpithedifferenceshallbehuge
sin(π2+a)=cosa
sin(π2-a)=cosa
cos(π2+a)=-sina
cos(π2-a)=sina
tan(π2+a)=-cota
tan(π2-a)=cota
thatistosaytheoddswillchange,evensareconserved
thenotationsthattheygetdependonwheretheyare
butnomatterwhereyouare
Ivegottasaythat
Ifyouweremysinecurve,Idbeyourcosinecurve
Illbeyourderivative,youllbemynegativeone
Asyouchangeyouamplitude,Ichangemyphase
wecanoscillatefreelyintheexternalspace