Evaluate each of the following: (i) `cot^(-1)(1/(sqrt(3)))-"c o s e c"^(-1)(-2)+sec^(-1)(2/(sqrt(3)))` (ii) `cot^(-1){2cos(sin^(-1)((sqrt(3))/2))}`

cot^(-1)(2+sqrt(3))=

Evaluate each of the following: cot^(-1)(1)/(sqrt(3))-csc^(-1)(-2)+sec^(-1)((2)/(sqrt(3)))cot^(-1){2cos(sin^(-1)(sqrt(3))/(2))}csc^(-1)(-(2)/(sqrt(3)))+2cot^(-1)(-1)tan^(-1)((1)/(sqrt(3)))+cot^(-1)((1)/(sqrt(3)))+tan^(-1)(sin(-(pi)/(2)))

Evaluate each of the following: cos e c^(-1)(-(2)/(sqrt(3)))+2cot^(-1)(-1)(ii)tan^(-1)(-(1)/(sqrt(3)))+cot^(-1)((1)/(sqrt(3)))+tan^(-1)(sin(-(pi)/(2)))

For the principal values,evaluate each of the following: sin^(-1)(-(1)/(2))+2cos^(-1)(-(sqrt(3))/(2))( ii) sin^(-1)(-(sqrt(3))/(2))+cos^(-1)((sqrt(3))/(2))

cosec^(-1)(-sqrt(2))+cot^(-1)(sqrt(3))=

3cot^(-1)((1)/(2-sqrt(3)))+cot^(-1)x=(pi)/(2)

cot^(-1)3+sec^(-1)((sqrt(5))/(2))

sec^(2)cot^(-1)((1)/(sqrt(3)))+tan^(2)cos ec^(-1)(sqrt(2))

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

Find the principal value of each of the following: i) cot^(-1)(-sqrt(3)) ii) sec^(-1)(-sqrt(2)) iii) "cosec"^(-1)(-1) .