Show that `sin^(-1) (12/13)+cos^(-1)(4/5)+tan^(-1)(63/16) = pi`.

Column I, Column II sin^(-1)(4/5)+2tan^(-1)(1/3)= , p. pi/6 ; sin^(-1)(12/13)+cos^(-1)(4/5)+tan^(-1)(63/16)= , q. pi/2 . If A=tan^(-1)((xsqrt(3))/(2lambda-x))a n d B=tan^(-1)((2x-lambda)/(lambdasqrt(3))) then the value of A-B is , r. pi/4 tan^(-1)1/7+2tan^(-1)1/3= , s. pi

Show that sin (cot^(-1) (tan cos^(-1)x)) =x

Show that , cos^(-1) 4/5 + cot^(-1) 5/3 = tan^(-1) 27/11

cos^(-1) tan(-(5pi)/(4))

Prove that, tan^(-1) (4/3) + tan^(-1) (12/5) = pi - tan^(-1)(56/33) .

Prove that, 2 "sin"^(-1)(2)/(sqrt(13))+(1)/(2) "cos"^(-1)(7)/(25)+"tan"^(-1)(63)/(16)=pi

show that sin ^(-1)""(4)/(5) +sin ^(-1)""(5)/(13) +sin ^(-1)""(16)/(65) =(pi)/(2)

prove that sin^(-1) cos sin^(-1)x + cos^(-1) sin cos^(-1)x = pi /2

show that cos^(-1)""(4)/(5)+cot^(-1)""(5)/(3)=tan ^(-1)""(27)/(11) .

Prove that cos^(-1)4/5 + cos^(-1)(12)/(13)=cos^(-1)(33)/(65)