Math Goniometrie Formulas 5LAWI8

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1
grondformule
sin² a + cos² a = 1
2
tan a =
sin a / cos a = 1 / cot a
3
cot a =
cos a / sin a = 1 / tan a
4
sec a
1 / cos a
5
csc a
1 / sin a
6
1 + tan² a =
1 / cos² a = sec² a
7
1 + cot² a =
1 / sin² a = csc² a
8
sin (a + b) =
sin a . cos b + cos a . sin b
9
sin (a - b) =
sin a . cos b - cos a . sin b
10
cos (a + b) =
cos a . cos b - sin a . sin b
11
cos (a - b) =
cos a . cos b + sin a . sin b
12
tan (a + b) =
(tan a + tan b) / (1 - tan a . tan b)
13
tan (a - b) =
(tan a - tan b) / (1 + tan a . tan b)
14
sin 2a =
2 . sin a . cos a
15
cos 2a =
cos² a - sin² a = 2cos² a - 1 = 1 - 2sin² a
16
tan 2a =
2tan a / (1 - tan² a)
17
sin² a =
(1 - cos 2a) / 2
18
cos² a =
(1 + cos 2a) / 2
19
sin a =
(2tan a/2) / (1 + tan² a/2) = 2t / (1 + t²)
20
cos a =
(1 - tan² a/2) / (1 + tan² a/2) = (1 - t²) / (1 + t²)
21
tan a =
(2tan a/2) / (1 - tan² a/2) = 2t / (1 - t²)
22
sin 3a =
3sin a - 4sin³ a
23
cos 3a =
4cos³ a - 3cos a
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