If `alpha=3sin^-1(6/11) `and `beta=3cos^-1(4/9)`, where the inverse trigonometric functions take only the principal values, then the correct option(s) is (are)

cos^(-1) (cos (-5)) + sin^(-1) (sin(6)) - tan^(-1)(tan (12)) is equal to : (The inverse trigonometric functions take the principal values)

cos^(-1) (cos (-5)) + sin^(-1) (sin(6)) - tan^(-1)(tan (12)) is equal to : (The inverse trigonometric functions take the principal values)

Transform sin^(-1)x in other inverse trigonometric function,where x in(-1,1)-(0)

Find the value of the trigonometric function sin(-(11 pi)/(3))

If alpha=3sin^(-1)(2/3) and beta=2cos^(-1)(1/3) then which of the following is/are CORRECT?

Find the values of the trigonometric function sin quad (-(11 pi)/(3))

Find the value of the following trigonometric functions: sin(-(11pi)/3)

Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy sin^(-1)((3x)/(5))+sin^(-1)((4x)/(5))=sin^(-1)x is equal to :

If we consider only the principal value of the inverse trigonometric functions then the value of tan (cos^-1 (1/sqrt(2))-sin^-1 (4/sqrt(17)) is (A) sqrt(29)/3 (B) 29/3 (C) sqrt(3)/29 (D) - 3/5