Show that `sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-tan((13pi)/8))+cot^-1(cot(-(19pi)/8))=(13pi)/7`

If sin^(-1)(sin.(33pi)/(7))+cos^(-1)(cos.(46pi)/(7)) +tan^(-1)(-tan.(13pi)/(8))+cot^(-1)(-cot.(19pi)/(8))=(api)/(b) , where a and b are constant, then (a+b) is equal to

cot^(-1)(cot((-46 pi)/(7)))

cos^(-1)(sin((pi)/(7)))

The value of sin^(-1)(sin((47 pi)/(7)))+cos^(-1)cos((60 pi)/(7))+tan^(-1)(-(tan)(29 pi)/(8))+cot^(-1)(cot(-(35 pi)/(8)))

tan^(-1)(tan((-33 pi)/(7)))

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)

tan^(-1){tan(-(7 pi)/(8))}

sin ^ (- 1) sin ((23 pi) / (7)) + cos ^ (- 1) cos ((39 pi) / (7))

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