Question

Упростить: 14tgd/tg2d(1-tg^2d)

Answer 1

$tg \alpha = \frac{2tg \alpha }{1-tg^2 \alpha }$

$\frac{14tg \alpha }{tg2 \alpha (1-tg^2 \alpha )} = \frac{7*2tg \alpha }{tg2 \alpha (1-tg^2 \alpha )}= \frac{7}{tg2 \alpha } * \frac{2tg \alpha }{1-tg^2 \alpha } = \frac{7}{tg2 \alpha } *tg2 \alpha =7$
Ответ: 7