Задача 74321 2cos^2x-3sinx*cosx+sin^2x=0...

6560d9c8e3570748678aed3c

11/24/2023 5:14:43 PM

2cos^2x-3sinx*cosx+sin^2x=0

65199db047ac953d0ca0181d

11/24/2023 5:29:20 PM

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Делим все на cos²x.
2-3tgx+tg²x=0
tgx=a
a²-3a+2=0
a1=2,a2=1
tgx=1
x=П/4 +Пk
tgx=2
x=arctg2 +Пk