Find the value of `cos^2pi/(16)+cos^2(3pi)/(16)+cos^2(5pi)/(16)+cos^2(7pi)/(16)dot`

Explanation

To solve the problem, we need to find the value of the expression:

\[ \cos^2\left(\frac{\pi}{16}\right) + \cos^2\left(\frac{3\pi}{16}\right) + \cos^2\left(\frac{5\pi}{16}\right) + \cos^2\left(\frac{7\pi}{16}\right) \]

### Step 1: Use the identity for cosine squared
We can use the identity:
...