#1
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µÃÕ⡳ÁÔµÔ
1.¶éÒ $x=\binom{cos20^{\circ}\cdot cosec70^{\circ}}{sec45^{\circ}}^2$ áÅÐ $y = \binom{tan30^{\circ} + sin45^{\circ}}{cosec60^{\circ}}$ áÅéÇ $(x-y)^2$ ÁÕ¤èÒà·èÒã´(͸ԺÒÂẺÅÐàÍÕ´¹Ð¤ÃѺ)
2.2. ¶éÒ¡Ó˹´ãËé $sin(A+B) = sinAcosB + cosAsinB$ áÅéǨ§ËÒ¤èҢͧ $\frac{\frac{sin30^{ \circ}\cdot sin45^{\circ}}{cos15^{\circ}}}{\frac{2sin15^{\circ}}{sec45^{\circ}}}$ ⨷ÂìÁÒãËÁè(update 15 dec 2011) 1.´ÓÍÂÙ躹ËͤÍÂÊÙ§ 24 ¿Øµ ÁͧàËç¹Ã¶Â¹µì A à»ç¹ÁØÁ¡éÁ $\theta$ ͧÈÒ Áͧ´Ëç¹Ã¶Â¹µì B «Öè§ÍÂÙèã¡Åéà¢éÒÁÒÍÕ¡ 20 ¿Øµ à»ç¹ÁØÁ¡éÁ $90 - \theta$ ö¹µì A ÍÂÙèËèÒ§¨Ò¡ËͤÍ¡Õè¿Øµ 2.¾Ô¨ÒóҢéͤÇÒÁ´Ñ§µèÍ仹Õé ¡. $sin68^{\circ} \gt cos 68^{\circ}$ ¢. $sin22^{\circ} \gt cos 22^{\circ}$ ¤. $tan50^{\circ} \gt sin80^{\circ}$ ´Ñ§¹Ñé¹ ¢éÍã´µèÍ仹ÕÔé¡ÅèÒÇä´é¶Ù¡µéͧ 1) ¡.à·ç¨¢éÍà´ÕÂÇ 2) ¢.à·ç¨¢éÍà´ÕÂÇ 3) ¤.à»ç¹¨ÃÔ§¢éÍà´ÕÂÇ 4) ¢.à»ç¹¨ÃÔ§¢éÍà´ÕÂÇ ¢Íº¤Ø³ÁÒ¡æ¤ÃѺ 15 ¸Ñ¹ÇÒ¤Á 2011 18:11 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 4 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Worrchet à˵ؼÅ: à¾ÔèÁ⨷Âì |
#2
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àÍÒ¤Óãºé仡è͹ÅСѹ
$sin70 í=cos20 í$ $sin60 í=cos30 í$ $cosec\theta =\frac{1}{sin\theta }$ ¶éÒ·Õè·´äÇéäÁè¼Ô´¡ç¨ÐµÍº \frac{3}{2} 09 ¸Ñ¹ÇÒ¤Á 2011 09:21 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ ~ToucHUp~ |
#3
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2.2 µÍº 1
àÍ¡Åѡɳì·ÕèãËéÁÒäÁèµéͧãªé ãªé¹Õè $sin2\theta =2sin\theta cos\theta$ ¨Ñ´ÃÙ»ÊÔ觷Õèµéͧ¡ÒÃä´é $\frac{sin30*sin45}{2sin15*cos15*cos45}$ à¾ÃÒÐÇèÒ $sec45=\frac{1}{cos45}$ µÑ´¡Ñ¹ËÁ´ µÍº1 »Å.¾ÔÁ¾ìͧÈÒÂѧä§ÍФÃѺ |
#4
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¾ÔÁ¾ì \circ ¤ÃѺ
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#6
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ÍéÒ§ÍÔ§:
$sin70 í=cos20 í$ $sin60 í=cos30 í$ ¶éÒ $sin80^{\circ} = cos80^{\circ}$ ãªèËÃ×ÍäÁè¤ÃѺ |
#7
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¼ÁÍÂÒ¡ÃÙéÇèÒ·ÓäÁ LatexÁѹàºÕéÂǤÃѺ ªèǺ͡˹èÍÂ
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#8
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à©Å¹ФÃѺ
¢éÍ1 µÍº $\frac{21-6\sqrt[]{6}}{8}$ ¢éÍ2 µÍº 1 ¢Íº¤Ø³ÁÒ¡æàŹФÃѺ¤Ø³ TouchUp à´ÕëÂÇÊÑ¡¾Ñ¡¼Á¡ç¨ÐÁÕ⨷ÂìÁÒãËÁè |
#9
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$sin\theta =cos{90\circ -\theta}$ ¤ÃѺ
09 ¸Ñ¹ÇÒ¤Á 2011 15:45 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ ~ToucHUp~ |
#10
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¢Íº¤Ø³¤ÃѺ
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#11
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ÍéÒ§ÍÔ§:
2. µÍº 2) ¢.à·ç¨¢éÍà´ÕÂÇ --> äÅèµÒÁ¹Õé¤ÃѺ ¡. $sin68^{\circ} \gt sin45^{\circ}$ áÅÐ $sin45^{\circ}= cos 45^{\circ}$ áÅÐ $cos 45^{\circ} \gt cos 68^{\circ}$ --> ($sin68^{\circ} \gt cos 68^{\circ}$) ¢. $sin22^{\circ} \lt sin 45^{\circ}$ áÅÐ $sin45^{\circ}= cos 45^{\circ}$ áÅÐ $cos 45^{\circ} \lt cos22^{\circ}$ --> ($sin22^{\circ} \lt cos 22^{\circ}$) ¤. $tan50^{\circ} \gt tan45^{\circ}$ áÅÐ $tan45^{\circ} = 1$ áÅÐ $1 \gt sin80^{\circ}$ --> ($tan50^{\circ} \gt sin80^{\circ}$) 18 ¸Ñ¹ÇÒ¤Á 2011 22:22 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 2 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ Puriwatt |
#12
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¢ÍÍÇÔ¸Õ·Ó˹èÍÂä´éäËÁ¤ÃѺà¾ÃÒÐÇèżÁ´Ùã¹Ë¹Ñ§Ê×ÍáÅÐäÁèà¢éÒ㨠¢Íº¤Ø³¤ÃѺ
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#13
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ÍéÒ§ÍÔ§:
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à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ | ¤é¹ËÒã¹ËÑÇ¢é͹Õé |
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