Zadanie w załączniku. proszę o rozwiązanie chociaż 2 z każdego zadania. Daje naj 

[latex]Wykresy w zalacznikach.\\1.\c) |sinx| < 1iff sinx < 1 wedge sinx > -1\\xin < -2pi; 2pi >-{-frac{3pi}{2};-frac{pi}{2}; frac{pi}{2}; frac{3pi}{2}}\\d) 2sinxgeqsqrt2Rightarrow sinxgeqfrac{sqrt2}{2}\\xinleft < frac{pi}{4}+2kpi; frac{3pi}{4}+2kpi ight > gdzie kinmathbb{C}[/latex] ============================================================= [latex]2.\b) cosxgeqfrac{sqrt2}{2}\\xinleft < 0; frac{pi}{4} ight > cup left < frac{7pi}{4}; 2pi ight>\\c) |cosx|leq0iff cosx=0\\xin{-frac{3pi}{2};-frac{pi}{2}; frac{pi}{2}; frac{3pi}{2}}\\d) 2cosx+sqrt3 < 0\\2cosx < -sqrt3 /:2\\cosx < -frac{sqrt3}{2}\\xin(frac{5pi}{6}+2kpi; frac{7pi}{6}+2kpi) gdzie kinmathbb{C}[/latex] ============================================================= [latex]3.\a) tgxgeq-1\\xinleft< frac{3pi}{4}; frac{3pi}{2} ight)\\c) |tgx| < frac{sqrt3}{3}iff tgx < frac{sqrt3}{3} wedge tgx > -frac{sqrt3}{3}\\xin(-frac{pi}{6}; frac{pi}{6}) cup (frac{5pi}{6}; frac{7pi}{6})\\d) |tgx|geq1iff tgxgeq1 vee tgxleq-1\\xinleft(-frac{pi}{2}+kpi;-frac{pi}{4}+kpi ight > cup left < frac{pi}{4}+kpi; frac{pi}{2}+kpi ight)[/latex] ============================================================= [latex]4.\a) ctgx > sqrt3\\xin(-pi;-frac{5pi}{6}) cup (0; frac{pi}{6})\\b) ctgxleq-1\\xinleft < -frac{5pi}{4};-pi ight) cup left < -frac{pi}{4}; 0 ight)\\c) |ctgx|geqfrac{sqrt3}{3}iff ctgxgeqfrac{sqrt3}{3} vee ctgxleq-frac{sqrt3}{3}\\xinleft(-pi;-frac{2pi}{3} ight> cup left< -frac{pi}{3}; 0 ight) cup left(0; frac{pi}{3} ight>\\d) |ctgx| < 1iff ctgx < 1 wedge ctgx > -1[/latex] [latex]xin(frac{pi}{4}+kpi; frac{3pi}{4}+kpi) gdzie kinmathbb{C}[/latex]