Prove the following results: `tan(cos^(-1)4/5+tan^(-1)2/3)=(17)/6` (ii) `cos(sin^(-1)3/5+cot^(-1)3/2)=6/(5sqrt(13))`

Explanation

To prove the given results step by step, let's start with the first result:

### Result (i): Prove that
\[ \tan\left(\cos^{-1}\left(\frac{4}{5}\right) + \tan^{-1}\left(\frac{2}{3}\right)\right) = \frac{17}{6} \]

**Step 1: Identify the angles**
...