" (i) "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)

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

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

Find the value of sin(tan^(-1)((1)/(2))-cos^(-1)((4)/(5)))

Evaluate sin(1/2cos^(-1)(4/5))

Evaluate sin ((1) / (2) cos ^ (- 1) ((4) / (5)))

Evaluate: i) sin{pi/3-sin^(-1)(-1/2)} ii) sin(1/2cos^(-1)4/5) iii) sin(cot^(-1)x) iv) tan1/2(cos^(-1)sqrt(5)/3)

Prove that: sin^(-1)((5)/(13))+cos^(-1)((4)/(5))=(1)/(2)sin^(-1)((3696)/(4225))