Prove that : `tan^(-1).(1)/(4)+tan^(-1).(2)/(9)=(1)/(2)sin^(-1).(4)/(5)`

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

prove that: 2 tan ^(-1).(1)/(3) + tan^(-1).(1)/( 7) = (pi)/(4)

Prove that sin ^(-1).(3)/(5) = tan ^(-1) .(3)/(4) .

Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

Prove that tan ^(-1) ""(1)/(4) + tan ^(-1) ""(2)/(9) = cos ^(-1) ((2)/(sqrt5))

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)

Prove that: sin^(-1)(3/5)=tan^(-1)(3/4)

Prove that: 2sin^(-1)(3/5)=tan^(-1)((24)/7)

Prove that : tan^(-1).(x)/(x+1)- tan ^(-1) (2x +1) = (3pi)/(4)

Prove: tan^(-1)(1/4)+tan^(-1)(2/9)=sin^(-1)(1/sqrt(5))