Show that : `tan^-1 4-tan^-1 3=cot^-1 13`

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Show that : tan(tan^-1 x+tan^-1 y+tan^-1 z)=cot(cot^-1 x+cot^-1 y+cot^-1 z)

Show that : tan^-1 3+tan^-1 4-tan^-1(-7/11)=pi

Show that : tan^-1 x+cot^-1(1+x)=tan^-1(1+x+x^2)

Show that : tan{sin^-1(-3/5)+cot^-1 3}=-1/3

Solve : tan^-1 2x+tan^-1 3x=pi/4

Show that : tan^-1frac{1}{7}+tan^-1frac{1}{13}=tan^-1frac{2}{9}

Show that : tan^-1frac{1}{2}+tan^-1frac{1}{3}=pi/4

Show that : tan^-1frac{1}{3}+tan^-1frac{1}{5}+tan^-1frac{1}{7}+tan^-1frac{1}{8}=pi/4

Show that : sec^2(tan^-1 3)+cosec^2(cot^-1 5)=36

Show that 1 -tan 10^@ -tan 35^@ = tan 10^@ tan 35^@