Evaluate ` tan ^ (-1) {sin (-pi/2)}`

Find the principal value of tan^(-1){sin(-pi/2)}

Find the value of : tan ^(-1) sin (-(pi)/(2))

Find the principal value of tan^(-1){sin(-(pi)/(2))}

tan^(-1)[sin(-pi/2)]=pi/4 .

Evaluate int tan^(-1) { sqrt((1-sin x)/(1+ sin x ))} dx , -pi/2 lt x lt pi/2

Evaluate tan^(-1)((3sin 2alpha)/(5+3cos2alpha)) +tan^(-1)((1)/(4)tan alpha) , where, -(pi)/(2) lt alpha lt (pi)/(2) .

Find the value of: i) sin ^(-1)(sin (3pi)/5) , ii) cos^(-1)(cos(13pi)/6) , iii) tan^(-1)(tan (7pi)/6) .

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

Evaluate the principal value of   v = tan^(-1)[sin(-(pi)/(2))] is:

Find the value of: i) sin^(-1)(sin (2pi)/3)) , ii) cos^(-1)(cos(7pi)/6) , iii) tan^(-1)(tan(3pi)/4)