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If $x = \sin \frac{2 π}{7} + \sin \frac{4 π}{7} + \sin \frac{8 π}{7}$ $and y = \cos \frac{2 π}{7} + \cos \frac{4 π}{7} + \cos \frac{8 π}{7}, then x^{2} + y^{2} is$

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Correct option is B

x2+y2=3+2cos⁡2π7+cos⁡4π7+cos⁡6π7=3+2(−1/2)=2

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If x=sin⁡2π7+sin⁡4π7+sin⁡8π7 and y=cos⁡2π7+cos⁡4π7+cos⁡8π7, then x2+y2 is

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If $x = \sin \frac{2 π}{7} + \sin \frac{4 π}{7} + \sin \frac{8 π}{7}$ $and y = \cos \frac{2 π}{7} + \cos \frac{4 π}{7} + \cos \frac{8 π}{7}, then x^{2} + y^{2} is$