Find the principal value of each of the following: `cos^(-1)(sin(4pi)/3)` (ii) `cos^(-1)(tan(3pi)/4)`

Find the principal values of each of the following: sec ^(-1)(2(sin(3 pi))/(4))( ii) sec^(-1)(2(tan(3 pi))/(4))

Find the principal values of each of the following: cot^(-1)(-(1)/(sqrt(3)))( ii) cot^(-1)((tan(3 pi))/(4))

Find the principal value of each of the following : cos^(-1)(-(sqrt(3))/(2))( ii) cos^(-1)(-(1)/(sqrt(2)))

Find the principal values of the following cos^(-1) (cos. (13pi)/6)

Find the principal values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]

Find the principal value of each of the following: tan^(-1)((cos pi)/(2))( ii) tan^(-1)(2(cos(2 pi))/(3))

Find the principal value of each of the following: sin^(-1)(-(sqrt(3))/(2))( (ii) sin^(-1)((cos(2 pi))/(3))( iii) sin^(-1)((sqrt(3)-1)/(2sqrt(2)))

Find the principal value of each of the following: sin^(-1)((sqrt(3)+1)/(2sqrt(2)))( (ii) sin^(-1)((cos(3 pi))/(4))( iii) sin^(-1)((tan(5 pi))/(4))

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

Evaluate each of the following: cos^(-1)((cos(13 pi))/(6))( ii) cos^(-1)(cos3)( iii) cos^(-1)(cos4)