`sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)}` is equal to `(ksqrt(5))/(81)` then `k=`

(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)) Is equal to :

sin^(-1){cos(sin^(-1)(sqrt(3)/2))}

Sin^(-1)((12)/(13))-sin^(-1)((3)/(5)) is equal to

sin(cos^(-1)(3/5)) is equal to

sin(A+B)=1/sqrt(2) cos(A-B)=sqrt3|2

If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) 1/sqrt(5) B) (-2/sqrt(5)) C) (2/sqrt(5)) D) 1

The value of expression tan^(- 1)((sqrt(2))/2)+sin^(- 1)((sqrt(5))/5)-cos^(- 1)((sqrt(10))/10)

Prove that : 4(sin^(-1)(1/sqrt(10)) + cos^(-1)( 2/sqrt(5)))=pi

(sqrt5 - sqrt3)/(sqrt5 + sqrt3) is equal to :

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =