Question

$tg(\pi \div 4 - x \div 2) = - 1$
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Answer 1

Ответ:

$tg (\frac{\pi}{4}- \frac{x}{2} )=-1\\\frac{\pi}{4}- \frac{x}{2}=\frac{3\pi}{4}+\pi n, n\in Z\\- \frac{x}{2}=\frac{\pi}{2}+\pi n, n\in Z\\- x=\pi+2\pi n, n\in Z\\ x=-\pi-2\pi n, n\in Z$

Answer 2

$tg(\frac{\pi}{4}-\frac{x}{2})=-1\\\\\frac{\pi}{4}-\frac{x}{2}=-\frac{\pi}{4}+\pi n\; ,\; n\in Z\\\\\frac{x}{2}=\frac{\pi}{4}+\frac{\pi}{4}-\pi n\; ,\; n\in Z\\\\\frac{x}{2}=\frac{\pi}{2}-\pi n,\; n\in Z\\\\x=\pi -2\pi n\; ,\; n\in Z$