MATeMAtyka 3. Zakres podstawowy i rozszerzony — strona 21

Kolejne uzupełnienia: $\frac{\pi}{36}$, $\frac{\pi}{18}$, $22^\circ30'$, $\frac{\pi}{5}$, $54^\circ$, $112^\circ30'$, $210^\circ$, $\frac{5\pi}{4}$, $\frac{7\pi}{4}$, $330^\circ$.

a) $(0^\circ,0)$, $(60^\circ,\frac{\pi}{3})$, $(120^\circ,\frac{2\pi}{3})$, $(180^\circ,\pi)$, $(240^\circ,\frac{4\pi}{3})$, $(300^\circ,\frac{5\pi}{3})$, $(360^\circ,2\pi)$, $(420^\circ,\frac{7\pi}{3})$.

b) $(0^\circ,0)$, $(15^\circ,\frac{\pi}{12})$, $(30^\circ,\frac{\pi}{6})$, $(45^\circ,\frac{\pi}{4})$, $(60^\circ,\frac{\pi}{3})$, $(75^\circ,\frac{5\pi}{12})$, $(90^\circ,\frac{\pi}{2})$, $(105^\circ,\frac{7\pi}{12})$.

a) $\frac{\pi}{9}$. b) $\frac{7\pi}{4}$. c) $\frac{17\pi}{4}$. d) $-\frac{7\pi}{3}$. e) $-\frac{55\pi}{9}$.

Tabela:

• $\sin$: $\frac12,\frac{\sqrt2}{2},\frac{\sqrt3}{2}$;
• $\cos$: $\frac{\sqrt3}{2},\frac{\sqrt2}{2},\frac12$;
• $\tg$: $\frac{\sqrt3}{3},1,\sqrt3$;
• $\ctg$: $\sqrt3,1,\frac{\sqrt3}{3}$.

a) $\frac{\sqrt3}{2}$, b) $\frac{\sqrt3}{3}$, c) $\sqrt3$, d) $\frac{\sqrt2}{2}$, e) $0$, f) $0$, g) $\frac{\sqrt2}{2}$, h) $\frac12$, i) $\frac{\sqrt2}{2}$.

a) $135^\circ$. b) $105^\circ$. c) $320^\circ$. d) $-405^\circ$. e) $-780^\circ$.

a) $\frac{\sqrt2}{2}$. b) $\frac12$. c) $\frac{\sqrt2}{2}$. d) $\sqrt3$. e) $\frac{\sqrt2}{2}$.