三角函数公式有很多,诱导公式,特殊角公式等。下面小编整理了三角函数计算方法及数值表,供大家参考!
三角函数计算方法有哪些角函数的关系
(正弦) Sin θ = 对边A / 斜边C
(余弦) Cosθ = 邻边B / 斜边C
(正切) Tanθ = 对边A / 邻边B
对边A = 斜边C * Sinθ
对边A = 邻边B * Tanθ
邻边B = 斜边C * Cosθ
邻边B = 对边A / Tanθ
斜边C = 对边A / Sinθ
斜边C = 邻边B / Cosθ
和差化积
2sinAcosB=sin(A+B)+sin(A-B)
2cosAsinB=sin(A+B)-sin(A-B)
2cosAcosB=cos(A+B)-sin(A-B)
-2sinAsinB=cos(A+B)-cos(A-B)
sinA+sinB=2sin((A+B)/2)cos((A-B)/2
cosA+cosB=2cos((A+B)/2)sin((A-B)/2)
tanA+tanB=sin(A+B)/cosAcosB
tanA-tanB=sin(A-B)/cosAcosB
倍角公式
Sin2A=2SinA.CosA
Cos2A=CosA^2-SinA^2=1-2SinA^2=2CosA^2-1
tan2A=(2tanA)/(1-tanA^2)
(注:SinA^2 是sinA的平方 sin2(A) )
半角公式
tan(A/2)=(1-cosA)/sinA=sinA/(1+cosA);
cot(A/2)=sinA/(1-cosA)=(1+cosA)/sinA.
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))如果觉得以上内容不够详细,可以点击查看三角函数计算公式相关文章,了解更多!
三角函数数值表sin,cos,tan不同角度的表值
sin1=0.01745240643728351
sin5=0.08715574274765816
sin10=0.17364817766693033
sin15=0.25881904510252074
sin16=0.27563735581699916
sin21=0.35836794954530027
sin25=0.42261826174069944
sin30=0.49999999999999994
sin35=0.573576436351046
sin40=0.6427876096865392
sin45=0.7071067811865475
sin50=0.766044443118978
sin55=0.8191520442889918
sin60=0.8660254037844386
sin65=0.9063077870366499
sin70=0.9396926207859083
sin75=0.9659258262890683
sin80=0.984807753012208
sin85=0.9961946980917455
sin90=1
cos1=0.9998476951563913
cos5=0.9961946980917455
cos10=0.984807753012208
cos15=0.9659258262890683
cos20=0.9396926207859084
cos25=0.9063077870366499
cos30=0.8660254037844387
cos35=0.8191520442889918
cos40=0.766044443118978
cos45=0.7071067811865476
cos50=0.6427876096865394
cos55=0.5735764363510462
cos60=0.5000000000000001
cos65=0.42261826174069944
cos70=0.3420201433256688
cos75=0.25881904510252074
cos80=0.17364817766693041
cos85=0.08715574274765836
cos90=0



