Реферат: Билеты по математике для устного экзамена и задачи по теме

15.2Ö3sin² (x/2 ) + 2 = 2sin² x + Ö3

16.1 + cos(x² + 1 ) = sin² (x² + 1 )

17.2sinx ×cos² x + cos⁴ x = 2sinx + cos2x + cos² x

18.tg² x + ctg² x + 3tgx + 3ctgx +4 = 0

19.1 + cos(x/2 ) + cosx = 0

20.1 - sin(x/2 ) = cosx

21.2sin² x + cos4x = 0

22.sin4x + 2cos² x = 1

23.5sinx - 4ctgx = 0

24.3cosx + 2tgx = 0

25.1 + 4cosx = cos2x

26.2cos² x + 5sinx + 1 = 0

27.cos2x + 3Ö2sinx - 3 = 0

28.2cos2x + 4cosx =sin² x

29.2cos2x + sin3x = 2

30. cos4x + 4sin² x = 1 + 2sin² 2x

31.4 - 6cosx = 3 sin² x - sin² (x/2 )

32. 5 + 2sin2x - 5cosx = 5sinx

33.cos4x + 8sin² x - 2 = 6cos2x - 8 cos⁴ x

34. 4 - 3cos4x = 10sinx ×cosx

35.sin4x = (1 +Ö2)(sin2x + cos2x - 1)

36.cos(10x + 12 ) + 4Ö2sin(5x + 6 ) = 4

37.sin³ x + cos³ x = 1 - 1/2sin2x

38. ctg² x - tg² x = 16cos2x

39.1 + sinx + cosx + sin2x + cos2x = 0

40.1/2(cos² x + cos² 2x ) - 1 = 2sin2x - 2sinx - sinx - sin2x

41.tg(p/2×cosx ) = ctg(p/2×sinx )

42.sin3x - sinx + cos2x = 1

43.2cos² x + 3sinx = 0