Помогите, пожалуйста, решить два примера из тригонометрии.

2) Умножим все на cos(x), тогда: [latex]1 - cos^{2} (x) = sin(x) [/latex] ⇔ [latex] 1-1+ sin^{2}(x) - sin(x) = 0 [/latex] ⇔ [latex] \left \{ {{sin(x) = 0} \atop {sin(x) = 1}} \right. [/latex]; 1) Умножим все на sin(x) и cos(x), получаем: [latex] 2sin^{2}(x)cos(x) + 2cos^{2}sin(x) + cos(x) + sin(x) + sin^{2}(x) + cos^{2}(x) \leq 2 [/latex] ⇔ [latex] 2sin^{2}(x)cos(x) + 2cos^{2}sin(x) + cos(x) + sin(x) - cos^{2}(x) + cos^{2}(x) \leq 1 [/latex] ⇔ [latex] sin(x)(2sin(x)cos(x)+ 1) + cos(x)(2sin(x)cos(x)+ 1) \leq 1[/latex] ⇔ [latex] (sin(x) + cos(x))(2sin(x)cos(x) + 1) \leq 1 [/latex] ⇔ [latex] \left \{ {{sin(x) + cos(x) \leq 1} \atop {2sin(x)cos(x) \leq 0}} \right. [/latex] ⇔ [latex] \left \{ {{cos(x) \geq 1} \atop {sin(x) \leq 0}} \right. [/latex];