Evaluate:
i) `sin{pi/3-sin^(-1)(-1/2)}`
ii) `sin(1/2cos^(-1)4/5)`
iii) `sin(cot^(-1)x)`
iv) `tan1/2(cos^(-1)sqrt(5)/3)`

Evaluate each of the following: sin((sin^(-1)5)/(13)) (ii) sin((cos^(-1)4)/(5))( iii) sin((tan^(-1)(15))/(8))

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)) .

Evaluate the following (i) sin ( pi/2 - sin^(-1) ( (-1)/2)) (ii) sin(pi/2 - sin^(-1)(- sqrt3/2))

Evaluate the following (i) sin ( pi/2 - sin^(-1) ( (-1)/2)) (ii) sin(pi/2 - sin^(-1)(- sqrt3/2))

Evaluate the following (i) sin ( pi/2 - sin^(-1) ( (-1)/2)) (ii) sin(pi/2 - sin^(-1)(- sqrt3/2))

Evaluate the following (i) sin ( pi/2 - sin^(-1) ( (-1)/2)) (ii) sin(pi/2 - sin^(-1)(- sqrt3/2))

Evaluate the following:(i) sin(1/2\ cos^(-1)(4/5)) (ii) sin(2\ tan^(-1)(2/3))+cos(tan^(-1)sqrt(3))

Find the principal value of (i) sin^(-1)""1/sqrt2 (ii) sin^(-1) ""-1/sqrt2 (iii) cos^(-1) ""sqrt3/2 (iv) sec^(-1) (-sqrt2) (v) tan^(-1) (sqrt3)

Simplify (i) sin(pitan{cot^(-1)((-2)/3)}) (ii) sin(2"tan"^(-1)1/2) (iii) cos(2cos^(-1)(1//5)+sin^(-1)(1//5))

Simplify (i) sin(pitan{cot^(-1)((-2)/3)}) (ii) sin(2"tan"^(-1)1/2) (iii) cos(2cos^(-1)(1//5)+sin^(-1)(1//5))