Answer 1

$cos^{2}x + 2sin x + 2 = 0$

$1 - sin^{2}x + 2sin x + 2 = 0$

$t = sin x, -1 \le t \le 1$

$-t^2 +2t +3 = 0$

t = -1, t=3

 

ОДЗ удовлетворяет только первый корень

sin x = -1

$x = -\frac{\pi}{2} + 2 \pi n, n c Z$

 

Answer 2

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