The value of `cot(cose c^(-1)5/3+tan^(-1)2/3)` is: (1) `6/(17)` (2) `3/(17)` (2) `4/(17)` (4) `5/(17)`

Explanation

To find the value of \( \cot\left(\cos^{-1}\left(\frac{5}{3}\right) + \tan^{-1}\left(\frac{2}{3}\right)\right) \), we can follow these steps:

### Step 1: Define the angles
Let:
- \( \theta_1 = \cos^{-1}\left(\frac{5}{3}\right) \)
- \( \theta_2 = \tan^{-1}\left(\frac{2}{3}\right) \)

### Step 2: Find the sides of the triangle for \( \theta_1 \)
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