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

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

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

Evaluate the following (i) sin ( pi/2 - sin^(-1) ( (-1)/2)) (ii) sin(pi/2 - sin^(-1)(- sqrt3/2))

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)

Find the value of tan^(-1)(tan'(2pi)/(3)) .

Find the value of tan^(-1)(-1/(sqrt(3)))+cot^(-1)((1)/(sqrt(3))) + tan^(-1)[sin'((-pi)/(2))] .

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

Show that sin ^ (- 1) ((sin (3 pi)) / (7)) + cos ^ (- 1) ((cos (46 pi)) / (7)) + tan ^ (- 1) (- (tan (13 pi)) / (8)) + cot ^ (- 1) (cot (- (19 pi) / (8))) = (13 pi) / (7)