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Решение тригонометрических уравнений

Решение тригонометрических уравнений. Виды тригонометрических уравнений. COS X = a , где |a| 1. x =  arccos a + 2n, nZ. arccos (– a ) =  - arccos a. sin X = a , где |a| 1. x=(–1) n arcsin a + n, n Z. arcsin (– a) = – arcsin a. tg x = a , где a  R.

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Решение тригонометрических уравнений

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  1. Решение тригонометрических уравнений

  2. Виды тригонометрических уравнений

  3. COS X =a,где|a|1

  4. x =  arccos a + 2n, nZ arccos (– a) = - arccos a

  5. sin X =a,где|a|1

  6. x=(–1)narcsin a + n, n Z arcsin (– a) = – arcsin a

  7. tg x = a, где a  R

  8. x = arctg a + n, n Z • arctg (– a) = – arctg a

  9. ctg x = a, где а  R

  10. x = arcctga + n, n Z arcctg (– a) = – arcctg a

  11. Частные случаи

  12. cos x = 0

  13. x = +n, nZ

  14. cos x= 1

  15. x = +2n, nZ

  16. cos x = -1

  17. x = +2n, nZ

  18. sinx=0

  19. x = n, nZ

  20. sin x=1

  21. x = +2n, nZ

  22. sin x = -1

  23. x = - +2n, nZ

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