Trigonometry formulas 📚

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  1. Sin x = opposite side ÷ hypotenuse 
  2. Cos x = Adjacent side ÷ hypotenuse 
  3. Tan x = opposite side ÷ adjacent side
  4. Cot x = Adjacent side ÷ opposite side 
  5. Sec x = hypotenuse ÷ opposite side 
  6. Cosec x= hypotenus ÷ adjacent side 
  7. Sin x × Cosec x = 1
  8. Sin x = 1 ÷ cosec x
  9. Cosec x = 1 ÷ sin x
  10. Cos x × sec x = 1
  11. Cos x = 1 ÷ sec x
  12. Sec x = 1 ÷ cos x
  13. Sin² x + cos² x = 1
  14. Cos x + tan x = 1
  15. 1 + cot x = cosec²x 
  16. Sin(A +B) = sinA.cosB + cosA.sinB
  17. Sin(A-B) = sinA.cosB - cosA.sinB
  18. Cos(A+B) = cosA.cosB - sinA.sinB
  19. Cos(A-B) = cosA.cosB + sinA.sinB
  20. Tan(A+B) = tanA + tanB ÷ 1- tanA.tanB
  21. Tan(A-B) = tanA - tanB ÷ 1+ tanA.tanB
  22. Sin2x = 2sinx.cosx
  23. Sin2x = 2tanx ÷ 1+ tan²x
  24. Cos2x = cos²x - sin²x
  25. Cos2x = 1 - 2sin²x
  26. Cos2x = 2cos²x - 1
  27. Tan2x = 2tanx ÷ 1- tan²x
  28. Sin3x = 3sinx - 4sin³x
  29. Cos3x = 4cos³x - 3cosx
  30. Tan3x = 3tanx - tan³x ÷ 1- 3tan²x
  31. 1 + cos2x = 2cos²x
  32. 1 - cos2x = 2sin²x
  33. SinC + sinD = 2sin(C+D ÷ 2). Cos( C - D ÷ 2)
  34. SinC - sinD = 2cos(C+D ÷ 2). Sin( C - D ÷ 2)
  35. CosC + cosD = 2cos(C+D ÷ 2). Cos( C - D ÷ 2)
  36. CosC - cosD = -2sin(C+D ÷ 2).sin( C - D ÷ 2)
  37. 2sinA.cosB = sin(A+B) + sin(A-B)
  38. 2cosA.sinB = sin(A+B) - sin(A-B)
  39. 2cosA.cosB = cos(A+B) + cos(A-B)
  40. 2sinA.sinB = cos(A-B) - cos(A+B)




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