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))`

cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=

Simplify sin cot^(-1)tan cos^(-1)x,x>0

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)

sin(sin^(-1)((1)/(3))+sec^(-1)(3))+cos(tan^(-1)(1/2)+tan^(-1)2) =

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

Simplify (I ) cos ^(-1) ( cos ((13 pi )/(3))) (ii ) tan^(-1) ( tan ((3pi)/(4))) (iii ) sec^(-1) ( sec ((5pi )/(3))) (iv ) sin^(-1) [ sin 10 ]

tan (cos ^(-1) x) = sin (cot ^(-1) ""(1)/(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 values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]

Find the principal values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]