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$\frac{sin\theta }{a} = \frac{cos\theta }{b} $

$\frac{sin\theta }{cos\theta } = \frac{a}{b} $

$tan \theta = \frac{a}{b} $

$tan2\theta = \frac{2tan\theta }{1-tan^2\theta } $

$tan2\theta = \frac{\frac{2a}{b} }{1-\left(\frac{a}{b}\right)^2} $

$tan2\theta = \frac{\frac{2a}{b} }{\frac{b^2-a^2}{b^2}} $

$tan2\theta = \frac{2ab}{b^2-a^2}$

ÇÒ´ ÊÒÁàËÅÕèÂÁ


¨Ò¡ÊÒÁàËÅÕèÂÁ¢éÒ§µé¹ ¨Ðä´é¤èҢͧ $sin2\theta $ áÅÐ $cos2\theta $ ¤ÃѺ
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Old 07 ÁԶعÒ¹ 2013, 10:59
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1.$2 cosec 2x =\sec x cosec x$

$2 cosec 2x =\dfrac{2}{\sin 2x} =\frac{1}{\sin x \cos x} =\sec x cosec x$


2.$\sec 2x=\dfrac{\sec^2 x}{2-\sec^2 x} $
$\sec 2x=\dfrac{1}{\cos 2x} =\dfrac{1}{2\cos^2x-1} $
$=\dfrac{1}{\cos^2x(2-\sec^2 x)} $
$=\dfrac{\sec^2 x}{2-\sec^2 x} $
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