[" (vii) "sin[(pi)/(2)-sin^(-1)(-(sqrt(3))/(2))]" (with "cos(sin^(-1)(3)/(5)+sin^(-1)(5)/(13))],[" (HB 2012) "]

Evaluate: cos(sin^(-1)3/5+sin^(-1)5/(13))

Evaluate: cos(sin^(-1)3/5+sin^(-1)5/(13))

Find cos(sin^(-1)3/5+sin^(-1)5/13)

Evaluate : cos[sin^(-1)""(3)/(5)+sin^(-1)""(5)/(13)]

tan(sin^(-1)((3)/(5))+cos^(-1)((3)/(sqrt(13)))=

"sin"^(-1)3/5+"cos"^(-1)3/5=(pi)/2

cos(sin^-1 (3/5)+ cot^-1(3/2)) = 6/(5sqrt13)

Prove that sin^(-1)((4)/(5)) +sin^(-1)((5)/(13)) +sin^(-1)((16)/(65)) =(pi)/(2)

cos^(-1)(cos((5 pi)/(3)))+sin^(-1)(sin((5 pi)/(3)))=

Find the principal value of each of the following: (i) sin^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(cos (pi/3)) (iii) sin^(-1)((sqrt(3)-1)/(2sqrt(2)))