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Old 21 ¾ÄȨԡÒ¹ 2013, 14:45
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cot10tan50-cot10tan40
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Old 21 ¾ÄȨԡÒ¹ 2013, 17:07
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Åͧãªé $\tan(50^\circ-40^\circ)$ ´Ù¹Ð¤ÃѺ
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
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Old 22 ¾ÄȨԡÒ¹ 2013, 09:43
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ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ á¿Ãì View Post
(cot 10 ͧÈÒ)(tan 50 ͧÈÒ) - (cot 10 ͧÈÒ)(tan 40 ͧÈÒ) = ?
(cot 10 ͧÈÒ)( tan 50 ͧÈÒ - tan 40 ͧÈÒ )

tan (50 ͧÈÒ - 40 ͧÈÒ) = ( tan 50 ͧÈÒ - tan 40 ͧÈÒ ) / (1 + ((tan 50 ͧÈÒ)(tan 40 ͧÈÒ))) = tan 10 ͧÈÒ
(tan 10 ͧÈÒ)(1 + ((tan 50 ͧÈÒ)(tan 40 ͧÈÒ))) = tan 50 ͧÈÒ - tan 40 ͧÈÒ

(cot 10 ͧÈÒ)(tan 10 ͧÈÒ)(1 + ((tan 50 ͧÈÒ)(tan 40 ͧÈÒ)))
= 1(1 + ((tan 50 ͧÈÒ)(cot 50 ͧÈÒ)))
= 1 + 1
= 2 µÍº
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