\[sin(A+B)=sin(A)cos(B)+cos(A) sin(B)\]
\[sin(A-B)=sin(A)cos(B)-cos(A) sin(B)\]
\[Cos(A+B)=cos(A)cos(B)-sin(A) sin(B)\]
\[Cos(A-B)=cos(A)cos(B)+sin(A) sin(B)\]
\[tan(A+B)=\frac{tanA+tanB}{1-tanA.tanB}\]
\[Tan(A-B)=\frac{tanA-tanB}{1+tanA.tanB}\]
\[Cot(A+B)=\frac{cotAcotB-1}{cotB+cotA}\]
\[Cot(A+B)=\frac{cotAcotB+1}{cotB-cotA}\]
\[sin(2x)=2sinxcosx\]
\[Cos(2x)=cos^2x-sin^2x\]
\[tan(2x)=\frac{2tanx}{1-tan^2x}\]
\[sin(3x)=3sin(x)-4sin^3x\]
\[Cos(3x)=4cos^3(x)-3cosx\]
\[tan(3x)=\frac{3tanx-tan^3x}{1-3tan^2x}\]
