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

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

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)))

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)))

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: sin^(-1)(-(sqrt(3))/(2))+csc^(-1)(-(2)/(sqrt(3)))sec^(-1)(sqrt(2))+2csc^(-1)(-sqrt(2))sin^(-1)[cos{2csc^(-1)(-2)}]csc^(-1)(2tan(11 pi)/(6))

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

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

Evaluate each of the following: (i) cot^(-1)(1/(sqrt(3)))-"cosec"^(-1)(-2)+sec^(-1)(2/(sqrt(3))) (ii) cot^(-1){2cos(sin^(-1)((sqrt(3))/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)) .

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