sin(tan^(-1)(1-x^(2))/(2 pi)+cos^(-1)(1-n^(2))/(1+n^(2)))

If x ne npi, x ne (2n+1)pi/2 , n in Z , then : sin^(-1)((sin^(-1) (cos x) + cos^(-1) (sinx))/(tan^(-1) (cotx)+cot^(-1) (tanx))) =

If x ne n pi, x ne (2n+1) (pi)/(2) n in Z, then : sin^(-1) ((sin^(-1) (cos x) + cos ^(-1) (sin x))/(tan^(-1) (cot x) + cot^(-1) (tan x )))=

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 dB=tan^(-1)((2x-lambda)/(lambdasqrt(3))) then the value of a-Bi s , r. pi/4 tan^(-1)1/7+2tan^(-1)1/3= , s. pi

Evaluate the following: 1. sin^(-1)(s i n(2pi)/3) 2. cos^(-1)(c o s(7pi)/6) 3. tan^(-1)(t a n(2pi)/3)

Evaluate the following: 1. sin^(-1)(s i n(2pi)/3) 2. cos^(-1)(c o s(7pi)/6) 3. tan^(-1)(t a n(2pi)/3)

Evaluate the following: 1. sin^(-1)(s i n(2pi)/3) 2. cos^(-1)(c o s(7pi)/6) 3. tan^(-1)(t a n(2pi)/3)

AA n in N,x in R,tan^(-1)[(x)/(1.2+x^(2))]+tan^(-1)[(x)/(2.3+x^(2))]+......+tan^(-1)[(x)/(n(n+1)+x^(2))]=

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