Îñíîâíûå ñîîòíîøåíèÿ
Date: 2015-10-07; view: 428.
Ôîðìóëû ïðèâåäåíèÿ. ׸òíîñòü.
Çíà÷åíèÿ ôóíêöèé õàðàêòåðíûõ óãëîâ
Çíàêè òðèãîíîìåòðè÷åñêèõ ôóíêöèé
| sin α | cos α | tg α | ctg α | |
| 0< α <π/2 | + | + | + | + |
| π/2< α < π | + | – | – | – |
| π< α <3π/2 | – | – | + | + |
| 3π/2< α <2π | – | + | – | – |
| ðàäèàíû | π/6 | π/4 | π/3 | π/2 | π | 3π/2 | 2π | |
| ãðàäóñû | 00 | 300 | 450 | 600 | 900 | 1800 | 2700 | 3600 |
| sin α | ½ | √2/2 | √3/2 | –1 | ||||
| cos α | √3/2 | √2/2 | ½ | –1 | ||||
| tg α | √3/3 | √3 | ∞ | ∞ | ||||
| ctg α | ∞ | √3 | √3/3 | ∞ | ∞ |
| àðãóìåíò | ôóíêöèÿ | sin | cos | tg | ctg |
| –α | –sinα | cosα | –tgα | –ctgα | |
| π/2 ± α | cosα |  sinα
| ctgα
| tgα
| |
| π ± α | sinα
| –cosα | tgα
| ctgα
|
sin2α + cos2α = 1; tgα · ctgα = 1; tgα = sinα/cosα = 1/ctgα; ctgα = cosα/sinα = 1/tgα;
1 + tg2α = 1/cos2α; 1 + ctg2α = 1/sin2α; secα = 1/cosα; cosecα = 1/sinα;
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