RAZONES TRIGONOMETRICAS:ANGULO DOBLE, TRIPLE, CUADRUPLE,SUMA DE N-ANGULOS

SIN(A+B):COS(B)*SIN(A)+SIN(B)*COS(A)
COS(A+B):COS(B)*COS(A)-SIN(A)*SIN(B)
SIN(A+B+C): COS(C)*COS(B)*SIN(A)+COS(C)*SIN(B)*COS(A)+SIN(C)*COS(A+B)
COS(A+B+C):COS(C)*COS(B)*COS(A)-COS(C)*SIN(B)*SIN(A)-SIN(C)*SIN(A+B)
SIN(A+B+C+D):COS(D)*COS(C)*COS(B)*SIN(A)+COS(D)*COS(C)*SIN(B)*COS(A)+COS(D)*SIN(C)*COS(A+B)+SIN(D)*COS(A+B+C)
COS(A+B+C+D):COS(D)*COS(C)*COS(B)*COS(A)-COS(D)*COS(C)*SIN(B)*SIN(A)-COS(D)*SIN(C)*SIN(A+B)-SIN(D)*SIN(A+B+C)
(COS X)^2=(1+COS(2X))/2
(SIN X)^2=(1-COS(2X))/2
SIN(2X)=2*COS(X)*SIN(X)
COS(2X)=(COS X)^2-(SIN X)^2
SIN(3X)=3*SIN X -4* (SIN X)^3
COS(3X)=4*(COS X)^3 -3*COS X
SIN(4X)=SIN(2X)*(2-4*(SIN X)^2)
COS(4X)=1-8*(SIN X)^2*(COS X)^2
SIN(1/2 X)=((1-COS X)/2)^0.5
COS(1/2 X)=((1+COS X)/2)^0.5
COS(N*X) siendo N un número natural es
COS(N*X)=