Evalutate : `tan^(-1)1+ cos^(-1)(1/2)+sin^(-1)(-1/2) + tan^(-1)(-sqrt(3))- sec^(-1)(-2) +cosec^(-1)(2/sqrt3)`

1. sin^(-1) (-1/2) = 2. tan^(-1) (-sqrt3) =

sin[cos^(-1)(-1/2)+tan^(-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

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)) .

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)) .

Find the principal value of each of the following: i) sin^(-1)(1/2) ii) sin^(-1)(-sqrt(3)/2) iii) tan^(-1)(-1/sqrt(3)) iv) tan^(-1)(-1) v) "cosec"^(-1)(-2) vi) tan^(-1)(-sqrt(3))

Find the value of 2tan^(-1)(1)-cos^(-1)(-1/2)+3sin^(-1)(1/sqrt(2))+2sec^(-1)(2/sqrt(3))

If a=sin^(-1) (-sqrt2/2)+cos^(-1) (-1/2) and b=tan^(-1) (-sqrt3)-cot^(-1) (-1/sqrt3) , then