taller con identidades trigonometricas
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Transcript of taller con identidades trigonometricas
1. sin2 𝑥 + cos2 𝑥 = sin 𝑥 csc 𝑥
2. tan2 𝑥 + sin 𝑥𝑐𝑠𝑐 𝑥 = 𝑠𝑒𝑐2 𝑥
3. tan2 𝑥 cos 𝑥 + cos2 𝑥 = 1
4. 1
cos 𝑥 𝑐𝑠𝑐 𝑥= tan 𝑥
5. cot2 𝑥 +1
cot 𝑥 tan 𝑥= csc 𝑥
6. 1
csc2 𝑥+ cos2 𝑥 = 1
7. sin2 𝑥 +1
sec2 𝑥= 𝑠𝑒𝑛 𝑥 csc 𝑥
8. sin 𝑥
csc 𝑥 +
cos 𝑥
sec 𝑥= 1
9. 1−sin 𝑥
cos 𝑥=
cos 𝑥
1+𝑠𝑒𝑛 𝑥
10. cot2 𝑥
csc 𝑥−1= csc 𝑥 + 𝑠𝑒𝑛2𝑥 + cos2 𝑥
11. tan 𝑥 + cot 𝑥 =1
cos 𝑥 sin 𝑥
12. csc 𝑥
tan 𝑥+cot 𝑥= cos 𝑥
13. 1
1+sin 𝑥+
1
1−sin 𝑥= 2 sec 𝑥
14. sec 𝑥
tan 𝑥+cot 𝑥= sec 𝑥
15. 1−cos 𝑥
𝑠𝑒𝑛 𝑥=
𝑠𝑒𝑛 𝑥
1+cos 𝑥
16. sec 𝑥 + cos2 𝑥 =1
cos 𝑥+
1
sec2 𝑥
17. (1 − sin2 𝑥)(1 + tan2 𝑥) = 1
18. cot2 𝑥 + sin2 𝑥 = csc2 𝑥 − cos2 𝑥