Mathematics Trigonometry Trigonometric Identities

What is the value of \(\cos\left(\frac{\pi}{9}\right)+\cos\left(\frac{\pi}{3}\right)+\cos\left(\frac{5\pi}{9}\right)+\cos\left(\frac{7\pi}{9}\right)\)?

1
1
2
-1
3
\(-\frac{1}{2}\)
4
\(\frac{1}{2}\)

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