" (1) "sin(cos^(-1)(4)/(5))

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

(i) If sin ^(-) x + sin ^(-1) y = pi//2 , then prove that : cos^(-1) x = sin^(-1) y (ii) Prove that : sin ((1)/(2) cos^(-1).(4)/(5))= (1)/sqrt(10) (iii) Prove that : tan ((1)/(2) cos^(-1).(sqrt(5))/(3)) = (3-sqrt(5))/(2)

sin((1)/(2)"cos"^(-1)(4)/(5))=

sin((1)/(2)cos^(-1).(4)/(5)) is equal to

The value of sin((1)/(2)"cos"^(-1)(4)/(5)) is -

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

Prove that "sin"^(-1)(12)/(13) +"cos"^(-1)(4)/(5) +"tan"^(-1) (63)/(16)=pi .