Evaluate the following: (i) `tan{2\ tan^(-1)(1/5)-pi/4}` (ii) `tan(1/2\ sin^(-1)(3/4)`

tan[2tan^(-1)((1)/(5))+(pi)/(4)]

Prove the following : sin^(-1)4/5+2\ tan^(-1)1/3=pi/2

tan(2tan^(-1)((1)/(3))-(pi)/(4))

Evaluate each of the following: tan((tan^(-1)3)/(4))( ii) tan((sin^(-1)5)/(13))( iii) tan((cos^(-1)8)/(17))

Find the principal values of the following (i) tan^(-1) (tan. (2pi)/(3)) (ii) tan^(-1) (tan (-6))

Evaluate: tan{2tan-1(1)/(5)-(pi)/(4)}

Evaluate the following (i) sin ( cosec ^(-1) 5/3)" "(ii) cot ( tan^(-1). 3/4)

Evaluate the following: sin^(-1)(sin(pi)/(4)) (ii) cos^(-1)(cos2(pi)/(3))tan^(-1)(tan(pi)/(3))