Q. tan^-1x+tan^-1y=pi+tan^-1((x+y)/(1-xy)) if x,y>0 and xy>0 Q. cos^-1x+cos^-1y=2pi-cos^-1(xy-sqrt(1-x^2)sqrt(1-y^2)) if x+y<0

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tan^(-1)x+tan^(-1)y=pi+tan^(-1)((x+y)/(1-xy))

tan^-1 x + tan^-1y= tan^-1 (frac{x+y}{1-xy} ).

tan^(-1)x-tan^(-1)y=tan^(-1)((x-y)/(1+xy)) holds good for

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sin^(-1)x+sin^(-1)y=cos^(-1)(sqrt(1-x^(2))sqrt(1-y^(2))-xy) if x in[0,1],y in[0,1]