Prove The following: `"cos"(sin^(-1)\ 3/5+cot^(-1)\ 3/2)=6/(5\ sqrt(13))`

Explanation

To prove the equation \( \cos(\sin^{-1} \frac{3}{5} + \cot^{-1} \frac{3}{2}) = \frac{6}{5\sqrt{13}} \), we will start by letting:

1. \( \theta = \sin^{-1} \frac{3}{5} \)
2. \( \phi = \cot^{-1} \frac{3}{2} \)

### Step 1: Find \( \sin \theta \) and \( \cos \theta \)

From the definition of \( \theta \):
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