Ответы и объяснения

2013-05-22T13:32:04+00:00

10sinxcosx + 5cosx -8sinx - 4 = 0

5cosx(2sinx+1) -4(2sinx+1) = 0

(2sinx+1)(5cosx -4) = 0

2sinx+1 = 0

1)sinx = -1/2

x = (-1)^n+1 *π/6 + πn

2) 5cosx-4 = 0

cosx = 4/5

x = ±arccos4/5 + 2πn