←Vrati se na zadatke2. ZadatakRiješite nejednadžbu 16sin3x−4≥0.16^{\sin3x}-4\ge0.16sin3x−4≥0.Prikaži rješenjeRješenje42sin3x≥4⇒2sin3x≥1⇒sin3x≥12π6+2kπ≤3x≤5π6+2kπ/⋅13π18+23kπ≤x≤5π18+23kπ,k∈Z\begin{gathered} 4^{2\sin3x}\ge4\quad\Rightarrow\quad2\sin3x\ge1\quad\Rightarrow\quad\sin3x\ge\frac12\\ \frac\pi6+2k\pi\le3x\le\frac{5\pi}6+2k\pi\quad/\cdot\frac13\\ \frac\pi{18}+\frac23k\pi\le x\le\frac{5\pi}{18}+\frac23k\pi,\quad k\in\mathbb Z \end{gathered}42sin3x≥4⇒2sin3x≥1⇒sin3x≥216π+2kπ≤3x≤65π+2kπ/⋅3118π+32kπ≤x≤185π+32kπ,k∈ZPomakni formulu lijevo ili desno.
