<prompt> Acha x cos frac2 pi7 i sin frac2 pi7. Kukokotoa thamani ya2x x22x2 x42x3 x62x4 x82x5 x102x 6 x12.  <response>: Kumbuka kuwa x7 cos 2 pi i sin 2 pi 1, kwa hivyo x7 - 1 0, ni mambo ganix - 1x6 x5 x4 x3 x2 x 1 0.Tangu x neq 1,x6 x5 x4 x3 x2 x 1 0.Kishaanzaalign2x x22x6 x12 4x7 2x8 2x13 x14 4 2x 2x6 1 5 2x 2x6, 2x2 x42x5 x10 4x7 2x9 2x12 x14 4 2x2 2x 5 1 5 2x2 2x5, 2x3 x62x4 x8 4x7 2x10 2x11 x14 4 2x3 2x 4 1 5 2x3 2x4.endalignHebu alpha x x6, beta x2 x5, na gamma x3 x4, kwa hivyo tunataka kukokotoa5 2 alpha5 2 beta5 2 gamma.Kishaalpha beta gamma x x6 x2 x5 x3 x4 -1.Pia,anzaalignalpha beta alpha gamma beta gamma x x6x2 x5 x x6x3 x4 x2 x5x3 x4 x3 x6 x8 x11 x4 x5 x9 x10 x5 x6 x8 x9 x3 x6 x x4 x4 x5 x2 x3 x5 x6 x x2 2x 2x2 2x3 2x4 2x5 2x6 -2mwishoalignnaanzaalignalpha beta gamma x x6x2 x5x3 x4 x3 x6 x8 x11x3 x4 x3 x6 x x4x3 x4 x6 x9 x4 x7 x7 x10 x5 x8 x6 x2 x4 1 1 x3 x5 x 1.mwishoalignKwa hiyo,anzaalign5 2 alfa5 2 beta5 2 gamma 125 50 alpha beta gamma 20 alpha beta alpha gamma beta gamma 8 alpha beta gamma 125 50-1 20-2 81 43.mwishopanga 