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

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

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) .

tan^(-1)((1)/(4))+tan^(-1)((2)/(9)) is equal to :

Prove that tan^(-1).(1)/(sqrt2) + sin^(-1).(1)/(sqrt5) - cos^(-1).(1)/(sqrt10) = -pi + cot^(-1) ((1 + sqrt2)/(1 - sqrt2))

(1) 4(tan^(-1)(1)/(3)+cos^(-1)(2)/(sqrt(5)))

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

Prove that : tan^(-1) a - tan^(-1) b = cos ^(-1) [(1+ab)/(sqrt((1+a^(2))(1+b^(2))))]

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

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)