if 7x=(π/2)→((cosxsin2xtan3x)/(cot4xcos5xsin6x))=?


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Question Number 204618 by es last updated on 23/Feb/24

$i f 7 x = \frac{π}{2} \to \frac{c o s x s i n 2 x t a n 3 x}{c o t 4 x c o s 5 x s i n 6 x} = ?$
	Answered by A5T last updated on 23/Feb/24

	$\frac{\frac{c o s (x) s i n (2 x) s i n (3 x)}{c o s (3 x)}}{\frac{c o s (4 x) c o s (5 x) s i n (6 x)}{s i n (4 x)}}$ $= \frac{s i n (4 x) c o s (x) s i n (2 x) s i n (3 x)}{c o s (3 x) c o s (4 x) c o s (5 x) s i n (6 x)} = 1$ $[s i n c e s i n (4 x) = c o s (3 x); c o s (x) = s i n (6 x);$ $s i n (2 x) = c o s (5 x); s i n (3 x) = c o s (4 x)]$
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