Question

care este arcul mai mic de 360 grade ale carui extremitati coincid cu ale arcului de...​

Answer 1

$\it \pi=180^o,\ 2\pi=360^o,\ 4\pi=720^o,\ 6\pi=1080^o,\ 8\pi=1440^o,\\ \\ 10\pi=1800^o,\ 12\pi=2160^o\\ \\ \\ Arcul\ cerut\ este\ de\ forma:\ 2k\pi+x,\ \ unde\ x<2\pi\\ \\ a)\ 1968^o=1800^o+168^o\\ \\ b)\ 572^o=360^o+212^o\\ \\ c)2160^o=2160^o+0^o\\ \\ d)\ \dfrac{18\pi}{5}=\dfrac{18\cdot180^o}{5}=18\cdot36^o=648^o=360^o+288^o\\ \\ \\ e)\ \dfrac{52\pi}{5}=\dfrac{52\cdot180^o}{5}=52\cdot36^o=1872^o=1800^o+72^o\\ \\ f)-24^o=360^o-24^o=336^o$

$\it g)-379^o=720^o-379^o=241^o\\ \\ h)\ 1289^o=1080^o+209^o$