Prove the following: `cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/(65))`

Explanation

To prove that \( \cos^{-1}\left(\frac{12}{13}\right) + \sin^{-1}\left(\frac{3}{5}\right) = \sin^{-1}\left(\frac{56}{65}\right) \), we will follow these steps:

### Step 1: Assign Variables
Let:
- \( a = \cos^{-1}\left(\frac{12}{13}\right) \)
- \( b = \sin^{-1}\left(\frac{3}{5}\right) \)

### Step 2: Express Cosine and Sine
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