0\; |:cos\frac{3x}{2}\ne 0\\tg\frac{3x}{2}>-1\\\frac{-\pi}{4}+\pi n<\frac{3x}{2}<\frac{\pi}{2}+\pi n\; ,\; n\in Z\\-\frac{\pi}{6}+\frac{2\pi n}{3}<x<\frac{\pi}{3}+\frac{2\pi n}{3}" alt="sin\frac{3x}{2}+cos\frac{3x}{2}>0\; |:cos\frac{3x}{2}\ne 0\\tg\frac{3x}{2}>-1\\\frac{-\pi}{4}+\pi n<\frac{3x}{2}<\frac{\pi}{2}+\pi n\; ,\; n\in Z\\-\frac{\pi}{6}+\frac{2\pi n}{3}<x<\frac{\pi}{3}+\frac{2\pi n}{3}" align="absmiddle" class="latex-formula">