[" (i) "sin^(-1)(-1)],[" (v) "sec^(-1)((2)/(sqrt(3)))]

Find the principal values of the following : (i) sin^(-1)(sqrt(-3/2)) (ii) cot^(-1)(-sqrt(3)) (iii) cos^(-1)(-1(1)/(2)) (iv) sec^(-1)(-(2)/sqrt(3)) (v) tan^(-1)(-1) (vi) cosec ^(-1)(-1) .

Find the principal values of the following : (i) sin^(-1)(sqrt(3)) (ii) cot^(-1)(-sqrt(3)) (iii) cos^(-1)(-1(1)/(2)) (iv) sec^(-1)(-(2)/sqrt(3)) (v) tan^(-1)(-1) (vi) cosec ^(-1)(-1) .

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

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

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

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)) .

Evaluate: tan ^ (- 1) 1 + cos ^ (- 1) ((1) / (2)) + sin ^ (- 1) (- (1) / (2)) + tan ^ (- 1) ( -sqrt (3)) - sec ^ (- 1) (- 2) + cos ec ^ (- 1) ((2) / (sqrt (3)))