Show that : `cos^-1frac{4}{5}+cos^-1frac{12}{13}=cos^-1frac{33}{65}`

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Find the value of : cos^-1frac{3}{5}+cos^-1frac{12}{13}+cos^-1frac{63}{65}

Show that : cos^-1frac{12}{13}+sin^-1frac{3}{5}=sin^-1frac{56}{65}

Show that : sin^-1 frac{4}{5}+sin^-1frac{5}{13}+sin^-1frac{16}{65}=pi/2

Show that : 2sin^-1frac{3}{5}=tan^-1frac{24}{7}

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 : cot^-1frac{1+xy}{x-y}+cot^-1frac{1+yz}{y-z}+cot^-1frac{1+zx}{z-x}=0

Show that : 2tan^-1frac{1}{3}+tan^-1frac{1}{7}=pi/4

Show that : cos(2tan^-1frac{1}{7})=sin(4tan^-1frac{1}{3})

Show that : tan^-1frac{1}{2}+sin^-1frac{1}{sqrt10}=pi/4