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In Mathematics, Trigonometry is the very most important subject/section to learn. Trigonometry is explain about triangles and ‘Trigon’ means triangle and ‘metry’ means measurement.

### Trigonometry formula

1. Sin θ = 1 / cosec θ

2. cosec θ = 1 / Sin θ

3. cos θ = 1 / sec θ

4. sec θ = 1/ cos θ

5. sin θ.cosec θ = 1

6. cos θ.sec θ = 1

7. tan θ.cot θ = 1

8. tan θ = sin θ / cos θ

9. cot θ = cos θ / sin θ

10. tan θ = 1 / cot θ

11. cot θ= 1 / tan θ

### Pythagorean Identity Formula

1. sin2 θ + cos2 θ = 1

2. sec2 θ = tan2 θ + 1

3. cosec2 θ =1 + cot2θ

### Trigonometric Angle and Measurements

1. sin (90° – θ) = cos θ

2. cos (90° – θ) = sin θ

3. tan (90° – θ) = cot θ

4. cosec (90° – θ) = sec θ

5. sec (90° – θ) = cosec θ

6. cot (90° – θ) = tan θ

7. sin (90° + θ) = cos θ

8. cos (90° + θ) = – sin θ

9. tan (90° + θ) = – cot θ

10. cosec (90° + θ) = sec θ

11. sec (90° + θ) = – cosec θ

12. cot (90° + θ) = – tan θ

13. sin (180° – θ) = sin θ

14. cos (180° – θ) = – cos θ

15. tan (180° – θ) = – tan θ

16. cosec (180° – θ) = cosec θ

17. sec (180° – θ) = – sec θ

18. cot (180° – θ) =  – cot θ

19. sin (180° + θ) = – sin θ

20. cos (180° + θ) = – cos θ

21. tan (180° + θ) = tan θ

22. cosec (180° + θ) = – cosec θ

23. sec (180° + θ) = – sec θ

24. cot (180° + θ) =  cot θ

25. sin (360° –  θ) = – sin θ

26. cos (360° –  θ) = cos θ

27. tan (360° –  θ= – tan θ

28. cosec (360° –  θ) = – cosec θ

29. sec (360° –  θ) = sec θ

30. cot (360° –  θ= – cot θ

31. sin (360° +  θ) = sin θ

32. cos (360° +  θ) = cos θ

33. tan (360° +  θ= tan θ

34. cosec (360° +  θ) = cosec θ

35. sec (360° +  θ) = sec θ

36. cot (360° +  θ= cot θ

2. #### Maths Tricks

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