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#1
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µÃÕ⡳ªèǤԴ˹èͤÃѺ
$\frac{sinx+siny+sinz}{sin(x+y+z)}=\frac{cox+cosy+cosz}{cos(x+y+z)}=2$
$ËÒ sinxsiny+sinysinz+sinzsinx$
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"Végre nem butulok tovább" ("ã¹·ÕèÊØ´ ¢éÒ¾à¨éÒ¡çäÁèà¢ÅÒŧÍÕ¡µèÍä»") |
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¡çãËé $x+y+z=t$ 仡è͹ ãªéÊÁ¡ÒÃ⨷Âì 2 ¤ÃÑé§
$(sinx+siny+sinz)^2=4sin^2t$ $(cosx+cosy+cosz)^2=4cos^2t$ ¡ÃШÒ¨ѺºÇ¡¡Ñ¹ áÅéÇãËé $p=\sum sinxsiny$ áÅÐ $q=\sum cosxcosy$ ¨Ðä´é $p+q=\frac{1}{2}$ ⨷ÂìÁѹ¶ÒÁ $p$ ãªè»ÐËÅÐ àÃÒ¡çÊÃéÒ§ÁÒÍÕ¡ÊÁ¡Òä×Í $q-p=2$ ¡çá¡éËÒ $p$ ä´é $q-p=cos(x+y)+cos(y+z)+cos(z+x)$ $=cos(t-x)+cos(t-y)+cos(t-z)$ ¡ÃШÒÂáÅéǨش¸Ù» àÍ꠨ѴÃÙ» ¨Ðä´é $q-p=2$ »Å.¢é͹ÕéãªéàªÔ§«é͹äÁèËÅØ´¹Ð¤ÃѺ ãªéä´éá¤è¤ÃÖ觢éÍà·èÒ¹Ñé¹ 02 ÁԶعÒ¹ 2014 15:40 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Aquila |
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ÍéÒ§ÍÔ§:
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#5
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·ÓäÁèËÅØ´àͧÃÖà»ÅèÒ ·èÒ¹
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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
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