1. Riješite trigonometrijske jednadžbe:[br] a) [math]sin\left(x\right)=\frac{\sqrt{3}}{2}[/math][br] b) [math]tg\left(2x\right)=1[/math][br] c) [math]cos\left(3x+\frac{\pi}{3}\right)=cos\left(x\right)[/math][br] d) [math]2sin^2\left(x\right)+5sin\left(x\right)+2=0[/math][br]Rješenja: a) [math]x_1=\frac{\pi}{3}+2k\pi[/math], [math]x_2=\frac{2\pi}{3}+2k\pi[/math], [math]k\in\mathbb{Z}[/math]; b) [math]\frac{\pi}{8}+\frac{k\pi}{2}[/math], [math]k\in\mathbb{Z}[/math]; c) [math]x_1=-\frac{\pi}{6}+k\pi[/math], [math]x_2=-\frac{\pi}{12}+\frac{k\pi}{2}[/math], [math]k\in\mathbb{Z}[/math];[br] d) [math]x_1=\frac{7\pi}{6}+2k\pi[/math], [math]x_2=\frac{11\pi}{6}+2k\pi[/math], [math]k\in\mathbb{Z}[/math][br][br]2. Riješite trigonometrijske nejednadžbe:[br] a) [math]cos\left(3x\right)<\frac{1}{2}[/math][br] b) [math]tg\left(x\right)>\sqrt{3}[/math][br]Rješenja: a) [math]\left\langle\frac{\pi}{9},\frac{5\pi}{9}\right\rangle+2k\pi[/math], [math]k\in\mathbb{Z}[/math]; b) [math]\left\langle\frac{\pi}{3},\frac{\pi}{2}\right\rangle+2k\pi[/math], [math]k\in\mathbb{Z}[/math]