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

(tan^(-1)(sqrt3)-sec^(-1)(-2))/(cosec^(-1)(-sqrt2)+cos^(-1)(-(1)/(2))) is equal to

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)) .

The vlaue of tan^(-1)sqrt(3)-sec^(-1)(-2)+cosec^(-1)(2)/sqrt(3) is

The vlaue of tan^(-1)sqrt(3)-sec^(-1)(-2)+cosec^(-1)(2)/sqrt(3) is

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

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

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))

The value of (cot^(-1)(-sqrt(3))+sec^(-1) (1)+tan^(-1)(-1))/(sin^(-1)(1//2) +cos^(-1)(-(sqrt(3))/(2)) +"cosec"^(-1)(-1)) is :

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: (i) cot^(-1)(1/(sqrt(3)))-"cosec"^(-1)(-2)+sec^(-1)(2/(sqrt(3))) (ii) cot^(-1){2cos(sin^(-1)((sqrt(3))/2))}