identidade trigonometrica

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Tabela de Identidades Trigonométricas Prof. MSc Henrique Starick 1- sen 2 x + cos 2 x = 1 2- sen 2 x = 1 - cos 2 3- cos 2 x = 1 - sen 2 x 4- tgx = senx cosx 5- tgx . cosx = senx 6- cosx = senx tgx 7- cotgx = cosx senx 8- cotgx.senx = cosx 9- senx = cosx cotgx 10- secx = 1 cosx 11- secx . cosx = 1 12- cosx = 1 secx 13- cosecx = 1 senx 14- cosecx . senx = 1 15- senx = 1 cosecx 16- sec 2 x = 1 cos 2 x 17- sec 2 x . cos 2 x = 1 18- cosec 2 x = 1 sen 2 x 19- cosec 2 x.sen 2 x = 1 20- sec 2 x = 1 + tg 2 x 21- sec 2 x - tg 2 x = 1 22- cosec 2 x = 1 + cotg 2 x 23- cosec 2 x - cotg 2 x = 1 24- sen 2 x = 1 – cos2x 2 25- cos 2 x = 1 + cos2x 2 26- sen2x = 2senx.cosx 27- sen (-x) = -sen x 28- cos (-x) = cos x 29- cos2x = cos 2 x – sen 2 x 30- cos 2 x = cos2x + sen 2 x 31- cos2x = 1 - 2 sen 2 x 32- cos2x = 2 cos 2 x – 1 33- tg x = senx 2 1+ cos x

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Page 1: identidade trigonometrica

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Tabela de Identidades TrigonométricasProf. MSc Henrique Starick

1- sen2x + cos2x = 1

2- sen2x = 1 - cos2

3- cos2x = 1 - sen2x

4- tgx = senx cosx5- tgx . cosx = senx

6- cosx = senx tgx7- cotgx = cosx senx8- cotgx.senx = cosx

9- senx = cosx cotgx10- secx = 1 cosx11- secx . cosx = 1

12- cosx = 1 secx13- cosecx = 1 senx14- cosecx . senx = 1

15- senx = 1 cosecx

16- sec2x = 1 cos2x

17- sec2x . cos2x = 1

18- cosec2x = 1 sen2x

19- cosec2x.sen2x = 1

20- sec2x = 1 + tg2x

21- sec2x - tg2x = 1

22- cosec2x = 1 + cotg2x

23- cosec2x - cotg2x = 1

24- sen2x = 1 – cos2x 2

25- cos2x = 1 + cos2x 2

26- sen2x = 2senx.cosx

27- sen (-x) = -sen x 

28- cos (-x) = cos x

29- cos2x = cos2x – sen2x

30- cos2x = cos2x + sen2x

31- cos2x = 1 - 2 sen2x

32- cos2x = 2 cos2x – 1

33- tg x = senx 2 1+ cos x

34- tg (-x) = -tg x

37-cos( a + b)= cosa.cosb – sena.senb

38-sen(a – b) = sena.cosb – senb.cos a

39-sen(a + b) = sena.cosb + senb.cosa