Question

Помогите срочно!!!!!!!!!!!!

Answer 1

$\alpha =\dfrac{\alpha ^\circ \cdot \pi }{180^\circ }\; \; radian\; \; \; ,\; \; \; \; a^\circ =\dfrac{180^\circ \cdot a}{\pi }\\\\\\1)\; \; \; 45^\circ =\frac{\pi}{4}\; \; ,\; \; 15^\circ =\frac{\pi}{12}\; \; ,\; \; 72^\circ =\frac{2\pi }{5}\; \; ,\; \; 100^\circ =\frac{5\pi}{9}\; \; ,\; \; 200^\circ =\frac{10\pi }{9}\; \; ,\\\\360^\circ =2\pi \; \; ,\; \; 215^\circ=\frac{215\cdot \pi}{180}=\frac{43\pi }{36}\; \; ,\; \; 330^\circ =\frac{330\cdot \pi }{180}=\frac{11\pi }{6}$

$2)\; \; \frac{\pi}{9}=20^\circ \; \; ,\; \; \frac{\pi}{5}=\frac{180^\circ}{5}=36^\circ \; \; ,\; \; \frac{5\pi}{12}=\frac{5\cdot 180^\circ}{12}=75^\circ \; \; ,\\\\\frac{\pi}{4}=\frac{180^\circ }{4}=45^\circ \; \; ,\frac{4\pi}{3}=\frac{4\cdot 180^\circ }{3}=240^\circ \; \; ,\; \; \frac{3\pi}{4}=\frac{3\cdot 180^\circ }{4}=135^\circ$