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