Show that `1/2 cos^-1 (3/5) = tan^-1 (1/2)`

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

Show that tan^(-1) (1/2) +tan^(-1) (1/8) = tan^(-1) (3/4) - tan^(-1)(1/18)

cos^(-1)(15/17)+2 tan^(-1)(1/5)=

Show that 2tan^-1 (-3)=-pi/2+tan^-1(-4/3)

Show that 2tan^-1 (-3)=-pi/2+tan^-1(-4/3)

Show that sin^(-1)(5/13)+cos^(-1)(3/5)=tan^(-1)(63/16) .

Prove that : cos^(-1).(4)/(5)+ tan ^(-1).(3)/(5) = tan^(-1) .(27)/(11) (ii) Prove that : sin^(-1).(3)/(5)+ tan ^(-1).(3)/(5) = tan^(-1) .(27)/(11)

Show that : "tan"^(-1)(1)/(4) +"tan"^(-1)(2)/(9) = (1)/(2) "cos"^(-1)(3)/(5) .

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

Show that : cos(2\ tan^(-1)(1/7 ))=sin(4\ tan^(-1) (1/3) )