<span>5sin²x + cosx - 1 = 0</span>
5( 1 - cos²x) + cosx - 1 = 0
5 - 5cos<span>²x </span>+ cosx - 1 = 0
- 5cos²x + cosx + 4 = 0 /:(-1)
5cos²x - cosx - 4 = 0
(5cosx + 4)(cosx - 1) = 0
cosx = 1 ==> x = 2pik, k ∈ Z
cosx = - 0,8 ==> x = ± (pi - arccos(0,8)) + 2pik, k ∈ Z
2,5=2 целых и 5/10=2целых и 1/2