cos1=0.54030230586814 sin1=0.8414709848079cos0=1 sin0=0cos30°=√3/2 s矛结教年没职讲影育二价in30°=1/2cos45°=√2/2 sin45°=√2/2cos60°=1/2 sin60°=√3/2 cos90°=0 sin90°=1cos120°=-1/2 sin120°=√3/来自2 cos135°=-√2/2 sin13360问答5°=√2/2cos150°=-√也万迫占印训良样根3/2 sin150°=1/2cos180°=-1 sin180°=0 cos210样状他八杨务°=-√3/2 sin210°=-1/2cos225°=-√2/2 sin225°=-√价叫而型后请特生振克刚2/2cos240°=-1/2 sin240°=-√3/2cos270°=0 sin270°=-1cos300°=1/2 s之渐案棉周in300°=-√3/2 co啊计政利担上卷解s315°=√2/2 sin315°=-√2/2cos330°==√3/2 sin330°=-1/2cos360重担般注陈°=1 s两扩认日周in360°=0 诱导错征大空化顺工公式
sin(-a)=-sin(a)
cos(神-a)=cos(a)
sin(π/2-a)=cos(a)
cos(π/2-a)=sin(a)
sin(π/写2+a)=cos(a)
cos(π/2+a)=-si算增式钟印n(a)
sin(π-a)=sin(a)
cos(π-a)=-cos(a)
sin(π她+a)=-sin(a)
co解化盟引s(π+a)=-cos(a)
tgA=t式抗亮独anA=sinA/cosA 两角和与差的三角函数
sin(a+b)=sin(a)cos(b)+cos稳固检施语丰告(α)sin(b测际快甚)
cos(a+b低)=cos(a)cos(b)-sin(a)sin(b)
sin(a-b)=sin(a)cos(b)-cos(a)sin(b)
cos(a-b)=cos(a)cos(b)+sin(a)sin(b)
tan(a+b)=(tan(a)+tan(b))/(1-tan(a)tan(b))
tan(a-b)=(tan(a)-tan(b))/(1+tan(a)tan(b)) 三角函数和差化积公式
sin(a)+sin(b)=2sin((a+b)/2)cos((a-b)/2)
sin(a)−sin(b)=2cos((a+b)/2)sin((a-b)/2)
cos(a)+cos(b)=2cos((a+b)/2)cos((a-b)/2)
cos(a)-cos(b)=-2sin((a+b)/2)sin((a-b)/2)
积化和差公式
sin(a)sin(b)=-1/2*[cos(a+b)-cos(a-b)]
cos(a)cos(b)=1/2*[cos(a+b)+cos(a-b)]
sin(a)cos(b)=1/2*[sin(a+b)+sin(a-b)]
二倍角公式
sin(2a)=2sin(a)cos(a)
cos(2a)=cos^2(a)-sin^2(a)=2cos^2(a)-1=1-2sin^2(a)
半角公式
sin^2(a/2)=(1-cos(a))/2
cos^2(a/2)=(1+cos(a))/2
tan(a/2)=(1-cos(a))/sin(a)=sin(a)/(1+cos(a))
万能公式
sin(a)=(2tan(a/2))/(1+tan^2(a/2))
cos(a)=(1-tan^2(a/2))/(1+tan^2(a/2))
tan(a)=(2tan(a/2))/(1-tan^2(a/2))
其它公式
a*sin(a)+b*cos(a)=sqrt(a^2+b^2)sin(a+c)[其中,tan(c)=b/a]
a*sin(a)-b*cos(a)=sqrt(a^2+b^2)cos(a-c)[其中,tan(c)=a/b]
1+sin(a)=(sin(a/2)+cos(a/2))^2
1-sin(a)=(sin(a/2)-cos(a/2))^2
其他非重点三角函数
csc(a)=1/sin(a)
sec(a)=1/cos(a)
双曲函数
sinh(a)=(e^a-e^(-a))/2
cosh(a)=(e^a+e^(-a))/2
tgh(a)=sinh(a)/cosh(a)
标签:余弦公式,正弦