sin^2+корень из 3 sinx*cosx=0

sin^2+корень из 3 sinx*cosx=0
- Предмет:
  Алгебра
- Автор:
  joshuabzn4
- 6 лет назад

Ответы 1

$sin^2x+ \sqrt{3} sinx*cosx=0|:cos^2x \\ \frac{sin^2x}{cos^2x} + \sqrt{3} \frac{sinx}{cosx}=0 \\ \frac{sinx}{cosx} =tgx \\ tg^2x+ \sqrt{3} tgx=0 \\ tgx(tgx+ \sqrt{3} )=0 \\ tgx=0 \\ x_1=arctg0+ \pi n \\ x_1= \pi n \\ tgx=- \sqrt{3} \\ x_2=-arctg \sqrt{3} + \pi n \\ x_2=- \frac{ \pi }{3} + \pi n$
- Автор:
  zaynecyzm
- 6 лет назад
- 0
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sin^2+корень из 3 sinx*cosx=0

Ответы 1

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