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$\frac{tg80}{cotg 25 + cotg 75} - \frac{cotg10}{tg25 + tg75}$


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#1
tunghieu

tunghieu

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Tính giá trị :
$\frac{tg80}{cotg 25 + cotg 75} - \frac{cotg10}{tg25 + tg75}$

Edited by tramyvodoi, 21-11-2012 - 21:27.


#2
QUANVU

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8.Tinh gia tri:
      tg80/(cotg 25+cotg 75) -cotg10/(tg25+tg75)

Cái cần tính bằng http://dientuvietnam.net/cgi-bin/mimetex.cgi?\dfrac{tg{80^0}.sin{25^0}.sin{75^0}}{sin{100^0}}-\dfrac{cotg{10^0}.cos{25^0}.cos{75^0}}{sin{100^0}}=-\dfrac{tg{80^0}}{sin{100^0}}(cos{25^0}.cos{75^0}-sin{25^0}.sin{75^0})(vì tg 80=cotg 10)http://dientuvietnam.net/cgi-bin/mimetex.cgi?=-\dfrac{tg{80^0}}{sin{100^0}}.cos{100^0}=-tg{80^0}.cotg{100^0}=-tg{80^0}.(-cotg{80^0})=1.

Không biết có nhầm không nhỉ? :D
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