Шпора по тригонометрии
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0 (0о) |
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(180о) |
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2
sin2
+ cos2
= 1 tg
=
ctg
=
tgctg
= 1 1
+ tg2
=
1 + ctg2
=
(360о) |
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sin |
0 |
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1 |
0 |
–1 |
0 |
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cos |
1 |
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0 |
–1 |
0 |
1 |
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tg |
0 |
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1 |
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не сущ. |
0 |
не сущ. |
0 |
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ctg |
не сущ. |
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1 |
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0 |
не сущ. |
0 |
не сущ. |
(30о)
(45о)
(60о)
(90о)
(270о)
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sin(90o – ) = + cos sin(90o + ) = + cos sin(180o – ) = + sin sin(180o + ) = – sin sin(270o – ) = – cos sin(270o + ) = – cos sin(360o – ) = – sin sin(360o + ) = + sin |
cos(90o – ) = + sin cos(90o + ) = – sin cos(180o – ) = – cos cos(180o + ) = – cos cos(270o – ) = – sin cos(270o + ) = + sin cos(360o – ) = + cos cos(360o + ) = + cos |
tg(90o – ) = + ctg tg(90o + ) = – ctg tg(180o – ) = – tg tg(180o + ) = + tg tg(270o – ) = + ctg tg(270o + ) = – ctg tg(360o – ) = – tg tg(360o + ) = + tg |
ctg(90o – ) = + tg ctg(90o + ) = – tg ctg(180o – ) = – ctg ctg(180o + ) = + ctg ctg(270o – ) = + tg ctg(270o + ) = – tg ctg(360o – ) = – ctg ctg(360o + ) = + ctg |
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1. Теорема синусов: |
2. Теорема косинусов: |
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a2 = b2 + c2 – 2bccos |
