What is the value of \(\cos \left(\frac{5 \pi}{17}\right)+\cos \left(\frac{7 \pi}{17}\right)+2 \cos \left(\frac{11 \pi}{17}\right) \cos \left(\frac{\pi}{17}\right)\) ?
1
0
2
1
3
4 cos\(\left(\frac{6 \pi}{17}\right)\) cos\(\left(\frac{\pi}{17}\right)\)
4
4 cos\(\left(\frac{11 \pi}{17}\right)\) cos\(\left(\frac{\pi}{17}\right)\)
5
Not Attempted