1. integrate sinx -cosx + c 2. integrate cosx sinx + c 3. integrate sec^2 x tanx + c 4. integrate cosecxcotx -cosecx + c 5. integrate cosec^2x -cotx +
... [Show More] c 6. integrate secxtanx secx + c 7. cosec^2 x = cot^2 x + 1 8. sec^2 x = tan^2 x + 1 9. sin^2 x 1 - cos^2 x 10. sin^2 x 1-cos2x/2 11. cos^2 x 1+cos2x/2 12. 1/x ln IxI + C 13. Differentiate sin x cos x 14. Differentiate tan x sec² x 15. Differentiate cot x - cosec² x 16. Differentiate sec x sec x tan x 17. Differentiate cos x - sin x 18. Differentiate cosec x - cosec x cot x 19. Differentiate sin 2x 2 cos 2x 20. Differentiate cot 3x - 3 cosec² 3x 21. Differentiate sin² x 2 sin x cos x 22. Differentiate cos 0.5x - 0.5 sin 0.5x 23. Differentiate sin x cos x cos 2x 24. Differentiate 2cos0.5x -sin0.5x 25. 1 + tan2¸ = sec2¸ 26. cot2¸ + 1 =cosec2¸ = cosec2¸ 27. Sin2¸ 2sin¸cos¸ 28. Cos2¸ cos²¸-sin²¸ 2cos²¸-1 1-2sin²¸ 29. Tan2¸ 2tan¸ / (1 -tan²¸) 30. How do you write a rational num- ber in a proof? a/b 31. What does y=|f(x)| do? Reflects values below the x-axis in the x-axis 32. What does y=f(|x|) do? Reflects values of xe0 in the y-axis 33. Arithmetic sequence formula a•+(n-1)d 34. Geometric sequence formula u™ = ar•{¹ 35. Convergent geometric series Convergent if |r|<1 where r is the common ratio 36. Periodic sequences Sequence is periodic if terms repeat in a cycle 37. Vectors and angles If the vector a = xi + yj + zk makes an angle “¸ with the positive x-axis, then cos“¸() = x/(|a|) and similarly for the angles ¸agnd ¸z. 38. Radian to degree conversion 1 radian = 180°= À 39. Arc length l=r¸ 40. Area of a circle sector a=1/2 x r²¸ 41. Arcsin(x) Graph 42. State the domain of y = arcsinx -1 dx d 1 43. State the range of y = arcsinx -À/2yddÀ/2 44. Arccos(x) Graph 45. State the domain of y = arccosx -1 dx d 1 46. State the range of y = arccosx 0 dy dÀ 47. Arctan(x) Graph 48. State the domain of y = arctanx - x<< 49. State the range of y = arctanx -À/2 [Show Less]