Show that `"cos"^(-1) 4/5+"sin"^(-1) 15/17=(pi)/2+"cos"^(-1)84/85`

Explanation

To show that \( \cos^{-1} \frac{4}{5} + \sin^{-1} \frac{15}{17} = \frac{\pi}{2} + \cos^{-1} \frac{84}{85} \), we will start by simplifying the left-hand side (LHS) step by step.

### Step 1: Write down the LHS
The left-hand side (LHS) is given by:
\[ \text{LHS} = \cos^{-1} \frac{4}{5} + \sin^{-1} \frac{15}{17} \]

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