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µÃÕ⡳¤ÃѺ
¡Ó˹´ãËéÊÒÁàËÅÕèÂÁ ABC ÁØÁ B = $\frac{\pi}{2}$ áÅÐ $\sqrt{1+\sqrt{1+tanC}}$ = 2
¨§ËÒ¤èҢͧ $\frac{1}{\sqrt{cotA}+\sqrt{tanC+1}} + \frac{1}{\sqrt{cotA+1}+\sqrt{tanC+2}}+....+\frac{1}{\sqrt{cotA+99}+\sqrt{tanC+100}}$ ÅͧãªéÍÑ¡Éà Latex ÍФÃѺ äÁèµÔ´¡ç¢ÍÍÀÑ 03 ¡ØÁÀҾѹ¸ì 2009 21:38 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ ¤uÃÑ¡la¢ |
#2
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$¡Ó˹´ãËéÊÒÁàËÅÕèÂÁ ABC ÁØÁ B = \frac{\pi}{2} áÅÐ \sqrt{1+\sqrt{1+tanC}} = 2 $
$¨§ËÒ¤èҢͧ$ $\frac{1}{\sqrt{cotA}+\sqrt{tanC+1}} + \frac{1}{\sqrt{cotA+1}+\sqrt{tanC+2}}+....+\frac{1}{\sqrt{cotA+99}+\sqrt{tanC+100}} $
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#3
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¢é͹ÕéµÍº $\sqrt{108}-\sqrt{8}$
µÍ¹ááãËéá¡éµÃ§ $\sqrt{1\sqrt{1+tanC}}=2$ ¡è͹¤ÃѺ ËÅѧ¨Ò¡¹Ñé¹ãªéÊٵ÷ҧ͹ءÃÁàÅ¢¤³Ôµ 03 ¡ØÁÀҾѹ¸ì 2009 22:41 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ ¤³ÔµÈÒʵÃì |
#4
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$tanC=8ãªéäËÁ¤ÃѺ$
04 àÁÉÒ¹ 2009 14:09 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Love math |
#5
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tan à»ç¹ ÍѵÃÒÊèǹ¤ÃѺäÁèÁÕ˹èÇÂ
á¡éËÒ¤èÒ$tanC^o$ ä´é $tanC^o=8$ µèÍÁÒ¾Ô¨Ã³Ò $\frac{1}{\sqrt{cotA}+\sqrt{tanC+1}} + \frac{1}{\sqrt{cotA+1}+\sqrt{tanC+2}}+....+\frac{1}{\sqrt{cotA+99}+\sqrt{tanC+100}}$ â´Â¾Ô¨Ã³Ò¨Ò¡$\frac{1}{\sqrt{cotA^o}+\sqrt{tanC^o+1}} =\frac{1}{\sqrt{tanC^o}+\sqrt{tanC^o+1}}$ áÅéÇ·Ó¡ÒÃÊѧÂØ¡µì Áѹ ¨Ðä´é $\frac{1}{\sqrt{tanC^o}+\sqrt{tanC^o+1}}=\sqrt{tanC^o+1}-\sqrt{tanC^o}$ 㹷ӹͧà´ÕÂǡѹ$\frac{1}{\sqrt{cotA+1}+\sqrt{tanC+2}}=\sqrt{tanC^o+2}-\sqrt{tanC^o+1}$ ¨Ðä´é $\frac{1}{\sqrt{cotA}+\sqrt{tanC+1}} + \frac{1}{\sqrt{cotA+1}+\sqrt{tanC+2}}+....+\frac{1}{\sqrt{cotA+99}+\sqrt{tanC+100}}=(\sqrt{tanC^o+1}-\sqrt{tanC^o})+(\sqrt{tanC^o+2}-\sqrt{tanC^o+1})+...+(\sqrt{tanC^o+100}-\sqrt{tanC^o+99})=\sqrt{tanC^o+100}-\sqrt{tanC^o}=\sqrt{108}-\sqrt{8}$
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à˹×Í¿éÒÂѧÁÕ¿éÒáµèà˹×Í¢éÒµéͧäÁèÁÕã¤Ã »Õ¡¢Õé¼×駢ͧ»ÅÍÁ§Ñé¹ÊԹР...âÅ¡¹ÕéâË´ÃéÒ¨ÃÔ§æ ÁѹãËé¤ÇÒÁÊØ¢¡ÑºàÃÒ áÅéÇÊØ´·éÒ Áѹ¡çàÍҤ׹ä»... |
#6
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¢Íº¤Ø³¤ÃѺ¤Ø³ LightLucifer
à¢Õ¹¤ÓÇèÒÊѧÂؤÍÂèÒ§¹Õé¤ÃѺ¨Ò¡ sol'n ¢Í§¤Ø³ ÊѧÂؤ(Conjugate)¤×Í¡Ò÷ÓãËéµÑÇÊèǹà»ç¹1â´Â¤èÒäÁèà»ÅÕè¹ 04 àÁÉÒ¹ 2009 14:08 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Love math |
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