(i) If sin ^(-) x + sin ^(-1) y = pi//2...

(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)`

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