Question

Упростить уравнение:
$\frac{tg(\frac{P}{4} + \alpha)-tg\alpha }{1+tg(\frac{P}{4}+\alpha)tg\alpha }$

Answer 1

$\frac{tg(\frac{\pi }{4}+\alpha)-tg\alpha}{1+tg(\frac{\pi }{4}+\alpha)tg\alpha}=tg(\frac{\pi }{4}+\alpha-\alpha)= tg\frac{\pi }{4}=1$