Prove the following results: (i) $2 \sin ^{-1}(3 / 5)=\tan ^{-1}(24 / 7)$ (ii) $\tan ^{-1} 1 / 4+\tan ^{-1}(2 / 9)=1 / 2 \cos ^{-1}(3 / 5)=1 / 2 \sin ^{-1}(4 / 5)$