Write the value of `cos^2(1/2cos^(-1)3/5)`

Explanation

To solve the problem \( \cos^2\left(\frac{1}{2} \cos^{-1}\left(\frac{3}{5}\right)\right) \), we can follow these steps:

### Step 1: Use the formula for cosine of a double angle
We know that:
\[ \cos(2\theta) = 2\cos^2(\theta) - 1 \]
From this, we can express \( \cos^2(\theta) \) as:
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