Utente:Ezechia/Sandbox

Angoli Notevoli

Nella tabella che segue sono indicati i valori delle funzioni goniometriche seno, coseno, tangente e cotangente degli angoli notevoli compresi tra 0° e 90°:

Angolo (α) in gradi	Angolo (α) in radianti	sen(α)	cos(α)	tan(A)	cot(α)
0°	0	0	1	0	Non Esiste
15°	${\frac {\pi }{12}}$	${\frac {{\sqrt {6}}-{\sqrt {2}}}{4}}$	${\frac {{\sqrt {6}}+{\sqrt {2}}}{4}}$	$2-{\sqrt {3}}$	$2+{\sqrt {3}}$
18°	${\frac {\pi }{10}}$	${\frac {{\sqrt {5}}-1}{4}}$	${\frac {\sqrt {10+2{\sqrt {5}}}}{4}}$	${\sqrt {\frac {5-2{\sqrt {5}}}{5}}}$	${\sqrt {5+2{\sqrt {5}}}}$
22° 30'	${\frac {\pi }{8}}$	${\frac {\sqrt {2-{\sqrt {2}}}}{2}}$	${\frac {\sqrt {2+{\sqrt {2}}}}{2}}$	${\sqrt {2}}-1$	${\sqrt {2}}+1$
30°	${\frac {\pi }{6}}$	${\frac {1}{2}}$	${\frac {\sqrt {3}}{2}}$	${\frac {\sqrt {3}}{3}}$	${\sqrt {3}}$
36°	${\frac {\pi }{5}}$	${\frac {\sqrt {10-2{\sqrt {5}}}}{4}}$	${\frac {{\sqrt {5}}+1}{4}}$	${\sqrt {5-2{\sqrt {5}}}}$	${\sqrt {\frac {5+2{\sqrt {5}}}{5}}}$
45°	${\frac {\pi }{4}}$	${\frac {\sqrt {2}}{2}}$	${\frac {\sqrt {2}}{2}}$	1	1
54°	${\frac {3}{10}}\pi$	${\frac {{\sqrt {5}}+1}{4}}$	${\frac {\sqrt {10-2{\sqrt {5}}}}{4}}$	${\sqrt {\frac {5+2{\sqrt {5}}}{5}}}$	${\sqrt {5-2{\sqrt {5}}}}$
60°	${\frac {\pi }{3}}$	${\frac {\sqrt {3}}{2}}$	${\frac {1}{2}}$	${\sqrt {3}}$	${\frac {\sqrt {3}}{3}}$
67° 30'	${\frac {3}{8}}\pi$	${\frac {\sqrt {2+{\sqrt {2}}}}{2}}$	${\frac {\sqrt {2-{\sqrt {2}}}}{2}}$	${\sqrt {2}}+1$	${\sqrt {2}}-1$
72°	${\frac {2}{5}}\pi$	${\frac {\sqrt {10+2{\sqrt {5}}}}{4}}$	${\frac {{\sqrt {5}}-1}{4}}$	${\sqrt {5+2{\sqrt {5}}}}$	${\sqrt {\frac {5-2{\sqrt {5}}}{5}}}$
75°	${\frac {5}{12}}\pi$	${\frac {{\sqrt {6}}+{\sqrt {2}}}{4}}$	${\frac {{\sqrt {6}}-{\sqrt {2}}}{4}}$	$2+{\sqrt {3}}$	$2-{\sqrt {3}}$
90°	${\frac {\pi }{2}}$	1	0	Non Esiste	0