if tan (x+y)=(3/4) and tan(x−y)=(8/(15)) show that tan 2x= ((77)/(36))


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Question Number 43875 by peter frank last updated on 16/Sep/18

$i f \tan (x + y) = \frac{3}{4} a n d \tan (x - y) = \frac{8}{15}$ $s h o w t h a t \tan 2 x = \frac{77}{36}$
	Answered by ajfour last updated on 16/Sep/18

	$\tan (x + y + x - y) = \frac{\frac{3}{4} + \frac{8}{15}}{1 - \frac{2}{5}}$ $\Rightarrow \tan 2 x = \frac{77}{36} .$
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