सिद्ध कीजिए कि
` sin((1)/(2)cos^(-1)""(4)/(5))=(1)/(sqrt(10))`

(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)

सिद्ध कीजिए कि 2tan^(-1)sqrt((b)/(a))=cos^(-1)((a-b)/(a+b))

sin^(-1)(1/sqrt5)+cos^(-1)(3/sqrt(10))

sin^(-1)((1)/(sqrt(5)))+sin^(-1)((1)/(sqrt(10)))=(pi)/(4)

tan(cos^(-1)(1)/(5sqrt(2))-sin^(-1)(4)/sqrt(17)) is

tan^(-1)(2)=sin^(-1)(2/(sqrt(5)))=cos^(-1)(1/(sqrt(5)))

tan(cos^(-1)(1/(5sqrt2))-sin^(-1) (4/sqrt17)) is

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

tan(cos^-1(1/(5sqrt2)) - sin^-1(4/(sqrt17)) is

In a /_ABC if /_A=sin^(-1)((1)/(sqrt(5)))/_B=cos^(-1)((3)/(sqrt(10))) then