Ответ:
Б) 5sin2x - 2 sinx = 0
5 * 2sinxcosx - 2sinx = 0
10sinxcosx - 2sinx = 0
2sinx (5cosx -1) = 0 l : 2
sinx (5cosx -1) = 0
sinx = 0 x = pk
5cosx = 1 x = +- arccos (1/5) + 2pk
В) 2sinx + 5cosx = 0
2sinx = -5cosx l :cosx
2tgx = -5
tgx = - 5/2
x = arctg(-5/2) + pk = -arctg(5/2) + pk
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Ответ:
Б) 5sin2x - 2 sinx = 0
5 * 2sinxcosx - 2sinx = 0
10sinxcosx - 2sinx = 0
2sinx (5cosx -1) = 0 l : 2
sinx (5cosx -1) = 0
sinx = 0 x = pk
5cosx = 1 x = +- arccos (1/5) + 2pk
В) 2sinx + 5cosx = 0
2sinx = -5cosx l :cosx
2tgx = -5
tgx = - 5/2
x = arctg(-5/2) + pk = -arctg(5/2) + pk