If the angles `A` and `B` are complimentary to each other, then value of-
(i) `sin (A+B)` is ........
(ii) `\frac{1}{\text{cosec}^2 A} + \frac{1}{\text{cosec}^2 B} + \frac{1}{sin^2 (A+B)} = ` .......
(iii) `(1 - sin^2 A)(1 - cos^2 A)(1 + cot^2 B)(1 + tan^2 B) = ` ...... .