`sec^2cot^(-1)(1/sqrt(3))+tan^2cosec^(-1) (sqrt(2))` ,

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

sec^(2)cot ^(-1)""((1)/(sqrt(3)))+tan^(2)"cosec"^(-1) (sqrt(2))

Find the principal value of: i) sin^(-1)(sqrt(3)/2) ii) sin^(-1)(1/2) iii) cos^(-1)(1/2) iv) tan^(-1)(1) v) tan^(-1)(1/sqrt(3)) vi) sec^(-1)(2/sqrt(3)) , vii) "cosec"^(-1)(sqrt(2)) .

For the principal values, evaluate the following: (i) cot^(-1)(-1)+cosec^(-1)(-sqrt(2))+s e c ^(-1)(2) (ii) cot^(-1)(-sqrt(3))+tan^(-1)(1)+sec^(-1)(2/(sqrt(3)))

For the principal values,evaluate the following: cot^(-1)(-1)+csc^(-1)(-sqrt(2))+secs^(-1)(2)cot^(-1)(-sqrt(3))+tan^(-1)(1)sec^(-1)((2)/(sqrt(3)))

tan^(-1)(sqrt(3))+sec^(-1)(-2) =

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)))

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

Find the principal value of: i) sin^(-1)(-1/sqrt(2)) , ii) cos^(-1)(-sqrt(3)/2) iii) tan^(-1)(-sqrt(3)) iv) sec^(-1)(-2) v) "cosec"^(-1)(-sqrt(2)) , vii) cot^(-1)(-1/sqrt(3)) .

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