Prove the following : `sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2`

Explanation

To prove the equation \( \sin^{-1}\left(\frac{4}{5}\right) + 2\tan^{-1}\left(\frac{1}{3}\right) = \frac{\pi}{2} \), we will follow these steps:

### Step 1: Start with the Left-Hand Side
We begin with the left-hand side of the equation:
\[ \sin^{-1}\left(\frac{4}{5}\right) + 2\tan^{-1}\left(\frac{1}{3}\right) \]

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