Mathematics Formula For 9th, 10th, 11th, 12th

फ्रेंड आज हम बात करेंगे Mathematics Formula For 9th, 10th, 11th, 12th के विषय में ताकि आप सभी को Math के Formula के बारे में जानकारी मिले 

1. (a+b)2= a2+2ab+b2

2. (a+b)2= (a-b)2+4ab

3. (a-b)2= a2-2ab+b2

4. (a-b)2= (a+b)2-4ab

5. a2 + b2= (a+b)2 - 2ab.


6. a2 + b2= (a-b)2 + 2ab.


7. a2-b2 =(a + b)(a - b)

8. 2(a2 + b2) = (a+ b)2 + (a - b)2

9. 4ab = (a + b)2 -(a-b)2

10. ab ={(a+b)/2}2-{(a-b)/2}2

11. (a + b + ¢)2 = a2 + b2 + ¢2 + 2(ab + b¢ + ¢a)


12. (a + b)3 = a3 + 3a2b + 3ab2 + b3

13. (a + b)3 = a3 + b3 + 3ab (a + b)


14. (a-b)3=a3-3a2b+3ab2-b3

15. a3 + b3 = (a + b) (a2 -ab + b2)


16. a3 + b3 = (a+ b)3 -3ab (a+ b)


17. a3 -b3 = (a -b) (a2 + ab + b2)


18. a3 -b3 = (a-b)3 + 3ab(a-b)

19. Sin0° = 1/2


20. Sin45° = 1/√ 2


21. Sin60 ° = √3/2

22. Sin90° = 1

¢os is apposite of Sin

24. Tan 0° = 0

25. Tan 30° = 1/√3

26. Tan 45° = 1

27. Tan 60° = 3

28. Tan 90° = ∞

¢ot is Apposite of Tan

29. Se¢ 0° = 1

30. Se¢ 30° = 2/√3


31. Se¢ 45° = √2


32. Se¢ 60° = 2


33. Se¢ 90° = ∞

¢oSe¢ is Apposite of Se¢

35. 2Sin.a ¢os.b=Sin (a+b)+Sin (a-b)


36. 2¢os.aSinb=Sin(a+b)-Sin (a-b)


37. 2¢os.a ¢osb =¢os(a+b)+¢os(a-b)


38. 2Sin.a Sin.b=¢os(a-b)-¢os(a+b)


39. Sin (a+b)=Sin.a ¢os.b+ ¢osa Sin.b.

40. ¢os(a+b)=¢osa ¢osb – Sin.a Sin.b.

41. Sin (a-b)=Sin.a ¢osb-¢os.a Sin.b.

42. ¢os(a-b)=¢os.a ¢os.b+Sin.a Sin.b .

43. Tan (a+b)= (Tan 0 + Tan.b)/ (1-Tan.a Tan.b)

44. Tan (a-b)= (Tan.a - Tan.b) I (1+ Tan.a Tan.b)

45. ¢ot(a+b)= (¢ot.a ¢ot.b -1) I (¢ot.a + ¢ot.b)

46. ¢ot(a-b)= (¢ot.a ¢ot.b + 1) I (¢ot.b- ¢ota)

47. Sin (a+b)=Sin.a ¢os.b+ ¢os.a Sin.b.

48. ¢os(a+b)=¢os.a ¢os.b +Sin.a Sin.b.

49. Sin (a-b)=Sin.a ¢os.b-¢os.a Sin.b.

50.  ¢os(a-b)=¢os.a ¢os.b+Sin.a Sin.b .

51.  Tan (a+b)= (Tan.a + Tan.b)/ (1-Tan.aTan.b)

52. Tan (a-b)= (Tan.a - Tan.b) /(1+ Tan.aTan.b)

53. ¢ot(a+b)= (¢ot.a ¢ot.b -1)/ (¢ot.a + ¢ot.b)

54. ¢ot(a-b)= (¢ot.a ¢ot.b + 1) / (¢ot.b- ¢ota)

55. a/Sin.a = b/Sin.b = ¢/Sin¢ = 2R

56. a = B ¢os¢ + ¢ ¢os.b

57. B = a ¢os¢ + ¢ ¢os.a

58. ¢ = a ¢os.b + B ¢os.a

59. ¢os.a = (b2 + ¢2- a2 )/ 2b¢

60. ¢os.b = (¢2 + a2- b2 ) / 2¢a

61.  ¢os¢ = (a2 + b2- ¢2) I 2¢a

62. △ = ab¢/4R

63. Sin∅ = 0 Then, ∅ = Nn

64.  Sin∅ = 1 Then,∅ = (4n + 1)N/2

65. Sin∅ = -1 Then, ∅ =(4n- 1)N/2

66. Sin∅ = Sin.aThen,∅ = Nn (-1)"Na


67. Sin2a = 2Sin.a ¢os.a

68. ¢os2a = ¢os2a – Sin2a

69. ¢os2a = 2¢os2a - 1

70. ¢os2a = 1 - Sin2a

71. 2Sin2a = 1 - ¢os2a

72. 1 + Sin2a = (Sin.a + ¢os.a)2

73. 1 - Sin2a = (Sin.a - ¢os.a)2

74. Tan2a = 2Tan.a / (1 - Tan 2a)

75. Sin2a = 2Tan.a / (1 + Tan2a)

76. ¢os2a = (1 - Tan2a) / (1 + Tan2a)

77. 4Sin3a = 3Sin.a - Sin3a

78. 4¢os3a = 3¢os.a + ¢os3a

79. Sin2∅+¢os2∅=1

80. Se¢2∅-Tan2∅=1

81. ¢ose¢2∅-¢ot2∅=1

82.  Sin∅=1/¢ose¢ ∅

83. ¢osec¢ ∅=1/Sin∅

84. ¢os∅=1/Se¢ ∅

85. Sec∅=1/¢os∅

86. Tan∅=1/¢ot∅

87.  ¢ot∅=1/Tan∅

88. Tan ∅=Sin∅/¢os∅