Question

найти значение выражения ​

Answer 1

$\displaystyle\bf\\\frac{Cos\Big(-\frac{13\pi }{3} \Big)-Sin\frac{7\pi }{6} }{tg\Big(-\frac{\pi }{4}\Big) } =\frac{Cos\Big(4\pi +\frac{\pi }{3} \Big)-Sin\Big(\pi +\frac{\pi }{6}\Big) }{-tg\frac{\pi }{4} } =\\\\\\=\frac{Cos\frac{\pi }{3} +Sin\frac{\pi }{6} }{-1} =-\Big(\frac{1}{2}+\frac{1}{2} \Big)=-1$