[tex] \frac{cos18*cos28+cos108*sin208 }{sin18*sin78+sin108*sin168} [/tex]

[tex] \frac{cos18*cos28+cos108*sin208 }{sin18*sin78+sin108*sin168} [/tex]
- Предмет:
  Алгебра
- Автор:
  zeus40
- 6 лет назад

Ответы 1

$\frac{cos18*cos28+cos108*sin208 }{sin18*sin78+sin108*sin168}= \frac{cos18*cos28+cos(90+18)*sin(180+28)}{sin18*sin78+sin(90+18)*sin(90+78)}=\frac{cos18*cos28+sin18*sin28}{sin18*sin78+cos18*cos78}=\frac{cos(28-18)}{cos(78-18)}=\frac{cos10}{cos60}=2*cos(10)$
- Автор:
  nyasia
- 6 лет назад
- 0
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[tex] \frac{cos18cos28+cos108sin208 }{sin18sin78+sin108sin168} [/tex]

Ответы 1

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