`sin[1/2cos^(- 1)4/5]`

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

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

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

Show that "cos"^(-1) 4/5+"sin"^(-1) 15/17=(pi)/2+"cos"^(-1)84/85

Show that "cos"^(-1) 4/5+"sin"^(-1) 15/17=(pi)/2+"cos"^(-1)84/85

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

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

(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)

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