" Prove that sin "^(-1)(-(1)/(2))+cos^(-1)(-(sqrt(3))/(2))^(oo)=cos^(-1)(-(1)/(2))

sin^(-1)(-(sqrt(3))/(2))+cos^(-1)((sqrt(3))/(2))

sin^(-1)(1/2)+cos^(-1)(-sqrt3/2)=?

(a) sin^(-1)(-1/2)=? (b) cos^(-1)(sqrt3/2)=?

For the principal values,evaluate each of the following: sin^(-1)(-(1)/(2))+2cos^(-1)(-(sqrt(3))/(2))( ii) sin^(-1)(-(sqrt(3))/(2))+cos^(-1)((sqrt(3))/(2))

Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((sqrt(10)-1)/(3sqrt2))=cos^(-1) (2/3)

Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((sqrt(10)-1)/(3sqrt2))=cos^(-1) (2/3)

Prove that sin^(-1)x=cos^(-1) sqrt(1-x^2)

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

prove that cos^(-1)x=2sin^(-1)sqrt((1-x)/(2))=2cos^(-1)sqrt((1+x)/(2))

For the principal values, evaluate each of the following : (i) sin^(-1)(-1/2)+2cos^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(-(sqrt(3))/2)+cos^(-1)((sqrt(3))/2)