1003085903 Level: BThe solution set of the inequality sin2x≤1 for x∈R is:R∅R∖{π2+2kπ:k∈Z}R∖{3π2+2kπ:k∈Z}
1003085904 Level: BThe solution set of the inequality cos2x<−1 for x∈R is:∅R⋃k∈Z(kπ;2kπ)⋃k∈Z(3kπ2;2kπ)
1003086008 Level: BThe solution set of the equation tgx⋅cotgx=1 for x∈R is:R∖{kπ2:k∈Z}RR∖{kπ:k∈Z}R∖{2kπ:k∈Z}
1003086101 Level: BWhich of the following equations has exactly four solutions in the interval [0;π]?tg4x=2tg2x=4tgx4=2tgx4=4
1003086102 Level: BHow many solutions does the equation cotg(2x−π4)=13 have in the interval [0;2π]?4820
1003086106 Level: BThe solution set of the equation sin2x=cos3x⋅sin2x for x∈[0∘;180∘] is:{0∘;90∘;120∘;180∘}{90∘;120∘;180∘}{90∘;180∘}{0∘;90∘}
1003086109 Level: BThe solution set of the equation tgx+cotgx=2 for x∈[−2π;2π] is:{−7π4;−3π4;π4;5π4}{−7π4;π4;}{−5π4;−π4;3π4;7π4}{−3π4;π4}
1003086110 Level: BWhich of the following intervals contains four solutions of the equation cosx=0.5?[π;5π][−2π;π][−4π;−2π][5π;10π]
2000006301 Level: BAn inequality is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding inequality.sinx≥32 x∈[0;2π]sinx≥22 x∈[0;2π]sinx>32 x∈[0;2π]sinx>22 x∈[0;2π]