Question

Решите уравнение
$\sin2x + \cos2x = 0$
​

Answer 1

sin(2x)+cos(2x)=0

sin(2x)=-cos(2x)

tg(2x)=-1

2x=135°

2x=135°+180°k, k€z

x=135°/2+90°k, k€z, x≠45°+90°k,k€z

x=135°/2+90°k,k€z

x≈67,5°+90°k,k€z