<prompt> Mizizi yaz7 -frac1sqrt2 - fracisqrt2ni textcis theta_1, textcis theta_2, dots, textcis theta_7, ambapo 0circ le theta_k 360circ kwa 1 yote le k le 7. Pata theta_1 theta_2 dots theta_7. Toa jibu lako kwa digrii.  <response>: Acha z textcis theta. Kishaz7 textcis 7 theta.Kwa kutumia nukuu ya cis,-frac1sqrt2 - fracisqrt2 textcis 225circ,kwa hivyo tunatakatextcis 7 theta textcis 225circ.Mlinganyo huu unashikilia kama na iwapo tu7 theta 225circ 360circ kkwa nambari kamili k, autheta frac225circ 360circ k7.asyukubwa wa kitengo 2 cm;chora-1.2,0--1.2,0;chora0,-1.2--0,1.2;choraMduara0,0,1;dotcis frac225circ7, dir2257, dir2257;kwaint i 1; i 6; i nukta dir2257 360i7;leboRe, 1.2,0, NE;leboIm, 0,1.2, NE;asyPembe za fomu hii ambazo ni kati ya 0circ na 360circ nifrac225circ7, quad frac225circ 360circ7, quad frac225circ 2 cdot 360circ 7, quad dots, quad frac225circ 6 cdot 360circ7.Kwa fomula ya mfululizo wa hesabu, jumla ya pembe hizi nifrac12 cdot kushoto frac225circ7 frac225circ 6 cdot 360circ7 kulia cdot 7 1305circ. 