Trig Identities
Use this exercise to improve your use of trig identities
1. tan(x) = sin(x) / cos(x)
2. sin^2 (x) + cos^2 (x) = 1
3. sin(x) = 1 / sec(x)
4. cot(x) * tan(x) = 1
5. tan^2 (x) - 1 = sec^2 (x)
6. cos(x) = 1 / csc(x)
8. 1=csc^2 (x) - cot^2 (x)
9. 1=[sec(x) + tan(x)][sec(x) -
tan(x)]
10. csc(x) = 1 / sin(x)
11. sin(x) * csc(x) = 1
12. cos^2 (x) = 1+ sin^2 (x)
13. sec(x) = 1 / tan (x)
14. cot(x) = cos(x) / sin(x)
15. tan^2 (x) = [sec(x) + 1][sec(x)
- 1]
16. 1=sec^2 (x) + tan^2 (x)
17. tan(x) = 1/ cot(x)
18. sin^2 (x) = 1 - cos^2 (x)
19. cos^2 (x) = [1 - cos(x)][1
+ cos(x)]
20. cot^2 (x) = csc^2 (x) - 1
21. cot^2 (x) = [csc(x) -1][csc(x)
-1]
22. sec(x) * tan(x) = sin (x)
23. cot(x) = 1/ tan(x)
24. sin^2 (x) - cos^2 (x) = 1
25. tan^2 (x) / tan(x0
26. sin^2 (x) / cos^2 (x) = tan^2
(x)
27. tan (x) * cos(x) = sin(x)
28. sin(x) * sec(x) = cot(x)
29. cot(x) * csc(x) * sec(x) =
sin^2 (x)
30. tan(x) * cot(x) * sin(x) =
1 / csc(x)