万能公式:
sin=2tan(/2)/[1+tan^2(/2)]
cosplay=[1|tan^2(/2)]/[1+tan^2(/2)]
tan=2tan(/2)/[1|tan^2(/2)]
积化和差公式:
sincosplay=(1/2)[sin(+)+sin(|)]
cosplaysin=(1/2)[sin(+)|sin(|)]
cosplaycosplay=(1/2)[cosplay(+)+cosplay(|)]
sinsin=|(1/2)[cosplay(+)|cosplay(|)]
和差化积公式:
sin+sin=2sin[(+)/2]cosplay[(|)/2]
sin|sin=2cosplay[(+)/2]sin[(|)/2]
cosplay+cosplay=2cosplay[(+)/2]cosplay[(|)/2]
cosplay|cosplay=|2sin[(+)/2]sin[(|)/2]
推导公式:
tan+cot=2/sin2
tan|cot=|2cot2
1+cosplay2=2cosplay^2
1|cosplay2=2sin^2
1+sin=(sin/2+cosplay/2)^2
其他:
sin+sin(+2/n)+sin(+2*2/n)+sin(+2*3/n)++sin[+2*(n|1)/n]=0
cosplay+cosplay(+2/n)+cosplay(+2*2/n)+cosplay(+2*3/n)++cosplay[+2*(n|1)/n]=0与
sin^2()+sin^2(|2/3)+sin^2(+2/3)=3/2
tanAtanBtan(A+B)+tanA+tanB|tan(A+B)=0