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Prove that: cos^4(pi/8)+cos^4((3pi)/8)+c...

Prove that: `cos^4(pi/8)+cos^4((3pi)/8)+cos^4((5pi)/8)+cos^4((7pi)/8)=3/2`

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To prove that \[ \cos^4\left(\frac{\pi}{8}\right) + \cos^4\left(\frac{3\pi}{8}\right) + \cos^4\left(\frac{5\pi}{8}\right) + \cos^4\left(\frac{7\pi}{8}\right) = \frac{3}{2}, \] we can start by simplifying the terms involved. ...
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