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Old 18 ÊÔ§ËÒ¤Á 2008, 20:14
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¶éÒ $\cos{3x}=\sin{x}$ ¨§ËÒ¤èҢͧx
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Old 18 ÊÔ§ËÒ¤Á 2008, 20:28
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·ÓÍÂèÒ§¹Õéä´éËÃ×Íà»ÅèÒ

$$cos3x=sinx$$

$$cos3x=cos(\frac{\pi }{2} -x)$$

$$3x=\frac{\pi}{2} -x$$

$$x= \frac{\pi }{8} +2n\pi $$

18 ÊÔ§ËÒ¤Á 2008 22:25 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ square1zoa
à˵ؼÅ: äÁèá¡é´Õ¡ÇèÒ ¼Ô´à»ç¹Á¹ØÉÂì
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Old 18 ÊÔ§ËÒ¤Á 2008, 20:52
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¼Ô´¤ÃѺ ¤ÓµÍº¢Í§¢é͹Õé¤×Í $x=\frac{(4k+1)\pi}{8},\frac{(4k+3)\pi}{4}$ â´Â·Õè $k\in\mathbb{Z}$ ¤ÃѺ

¤Ø³ square1zoa ¼Ô´µÃ§¨Ò¡ºÃ÷Ѵ·Õè 2 ä» 3 ¤ÃѺ ÁѹäÁèÊÒÁÒà imply à»ç¹ºÃ÷Ѵ·Õè 3 㹷ѹ·Õ¤ÃѺ
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Old 18 ÊÔ§ËÒ¤Á 2008, 21:00
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§Ñé¹ãËé¤Ø³ owlpenguin ªèÇÂáÊ´§ÇÔ¸Õ·ÓãËé´Ù˹èͤÃѺ
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Old 18 ÊÔ§ËÒ¤Á 2008, 21:21
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àÍèÍ ¼Ô´¨ÃÔ§´éÇ ¢ÍàÇÅÒ¹Ñ觤Դ¹Ð¤ÃѺ
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Old 18 ÊÔ§ËÒ¤Á 2008, 22:08
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·ÓẺ¹Õé ¶Ù¡ÍêлèÒǤѺ
$$\sin(\frac{\pi }{2} -3x)-\sin(x)=0$$
$$2\cos(\frac{\pi }{4} -x)\sin(\frac{\pi }{4} -2x)=0$$
¾Ô¨ÒóÒá¤è $$\cos(x-\frac{\pi }{4})\sin(2x-\frac{\pi }{4})=0$$
¨Ðä´é $x-\frac{\pi }{4}=k\pi+\frac{2\pi }{4}$ áÅÐ $2x-\frac{\pi }{4}=k\pi$
$\therefore$ $ x=\frac{(4k+1)\pi}{8},\frac{(4k+3)\pi}{4}$
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Old 18 ÊÔ§ËÒ¤Á 2008, 22:25
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