sinα=2sin(a/2)cos(a/2)
cosα=2cos^2(a/2)-1=1-2sin^2(a/2)=cos^2(a/2)-in^2(a/2)
tanα=2tan(a/2)/[1-tan^2(a/2)]
sin(A+B)=sinAcosB+cosAsinB
sin(A-B)=sinAcosB-cossinB
cos(A+B)=cosAcosB-sinAsinB
cos(A-B)=cosAcosB+sinAsinB
tan(A+B)=(tanA+tanB)/(1-tanAtanB)
tan(A-B)=(tanA-tanB)/(1+tanAtanB)