建筑测量三角函数的公式是什么?
诱导公式sin(-a)=-sin(a) cos(-a)=cos(a) sin(pi/2-a)=cos(a) cos(pi/2-a)=sin(a) sin(pi/2 a)=cos(a) cos(pi/2 a)=-sin(a) sin(pi-a)=sin(a) cos(pi-a)=-cos(a) sin(pi a)=-sin(a) cos(pi a)=-cos(a) tgA=tanA=sinA/cosA两角和与差的三角函数sin(a b)=sin(a)cos(b) cos(α)sin(b) cos(a b)=cos(a)cos(b)-sin(a)sin(b) sin(a-b)=sin(a)co...全部
诱导公式sin(-a)=-sin(a) cos(-a)=cos(a) sin(pi/2-a)=cos(a) cos(pi/2-a)=sin(a) sin(pi/2 a)=cos(a) cos(pi/2 a)=-sin(a) sin(pi-a)=sin(a) cos(pi-a)=-cos(a) sin(pi a)=-sin(a) cos(pi a)=-cos(a) tgA=tanA=sinA/cosA两角和与差的三角函数sin(a b)=sin(a)cos(b) cos(α)sin(b) cos(a b)=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)。
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