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

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

Evaluate: (i) tan{2tan^(-1)(1/5)-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5)/3)}

Evaluate: tan{(2tan^(-1)(1/5)-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5)/3)}

Evaluate the following:(i) sin(1/2\ cos^(-1)(4/5)) (ii) sin(2\ tan^(-1)(2/3))+cos(tan^(-1)sqrt(3))

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

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

Evaluate each of the following: tan^(-1)(tan(9pi)/4) (ii) tan^(-1)(tan1) (iii) tan^(-1)(tan2)

Evaluate the following: (i) sin^(-1)(sinpi/4) (ii) cos^(-1)(cos2pi/3) (iii) tan^(-1)(tanpi/3)

Evaluate the following: (i) sin^(-1)(sin(pi/4)) (ii) cos^(-1)(cos(2pi)/3)) tan^(-1)(tan(pi/3))

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