കണക്കിലെ ഫോർമുലകൾ

9 മുതൽ 12 വരെ മാത്തമാറ്റിക്സ് പഠിക്കുന്ന വിദ്യാർത്ഥിനി വിദ്യാർത്ഥികൾക്കും മാതാപിതാക്കൾക്കുമായി ഇതാ മിക്കവാറും എല്ലാ  മാത്ത് സ് ഫോർമുലകളും .ഇവ നിങ്ങൾക്കെല്ലാം ഉപകാരപ്പെടും.
                   
0,  (α+в+¢)²= α²+в²+¢²+2(αв+в¢+¢α)
1.  (α+в)²= α²+2αв+в²
2.  (α+в)²= (α-в)²+4αв b
3.  (α-в)²= α²-2αв+в²
4.  (α-в)²= f(α+в)²-4αв
5.  α² + в²= (α+в)² - 2αв.
6.  α² + в²= (α-в)² + 2αв.
7.  α²-в² =(α + в)(α - в)
8.  2(α² + в²) = (α+ в)² + (α - в)²
9.  4αв = (α + в)² -(α-в)²
10. αв ={(α+в)/2}²-{(α-в)/2}²
11. (α + в + ¢)² = α² + в² + ¢² + 2(αв + в¢ + ¢α)
12. (α + в)³ = α³ + 3α²в + 3αв² + в³
13. (α + в)³ = α³ + в³ + 3αв(α + в)
14. (α-в)³=α³-3α²в+3αв²-в³
15. α³ + в³ = (α + в) (α² -αв + в²)
16. α³ + в³ = (α+ в)³ -3αв(α+ в)
17. α³ -в³ = (α -в) (α² + αв + в²)
18. α³ -в³ = (α-в)³ + 3αв(α-в)
19, ѕιη0° =0
20, ѕιη30° = 1/2
21, ѕιη45° = 1/√2
22, ѕιη60° = √3/2
23, ѕιη90° = 1
24, ¢σѕ ιѕ σρρσѕιтє σƒ ѕιη
25, тαη0° = 0
26, тαη30° = 1/√3
27, тαη45° = 1
28, тαη60° = √3
29, тαη90° = ∞
30, ¢σт ιѕ σρρσѕιтє σƒ тαη
31, ѕє¢0° = 1
32, ѕє¢30° = 2/√3
33, ѕє¢45° = √2
34, ѕє¢60° = 2
35, ѕє¢90° = ∞
36, ¢σѕє¢ ιѕ σρρσѕιтє σƒ ѕє¢
37, 2ѕιηα¢σѕв=ѕιη(α+в)+ѕιη(α-в)
38, 2¢σѕαѕιηв=ѕιη(α+в)-ѕιη(α-в)
39, 2¢σѕα¢σѕв=¢σѕ(α+в)+¢σѕ(α-в)
40, 2ѕιηαѕιηв=¢σѕ(α-в)-¢σѕ(α+в)
41. ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
42, ¢σѕ(α+в)=¢σѕα ¢σѕв - ѕιηα ѕιηв.
43, ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
44, ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
45, тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
46, тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
47, ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
48, ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)
49, ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
50, ¢σѕ(α+в)=¢σѕα ¢σѕв +ѕιηα ѕιηв.
51, ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
52, ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
53, тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
54, тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
55, ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
56, ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)
      α/ѕιηα = в/ѕιηв = ¢/ѕιη¢ = 2я
57, α = в ¢σѕ¢ + ¢ ¢σѕв
58, в = α ¢σѕ¢ + ¢ ¢σѕα
59, ¢ = α ¢σѕв + в ¢σѕα
60, ¢σѕα = (в² + ¢²− α²) / 2в¢
61, ¢σѕв = (¢² + α²− в²) / 2¢α
62, ¢σѕ¢ = (α² + в²− ¢²) / 2¢α
63, Δ = αв¢/4я
64, ѕιηΘ = 0 тнєη,Θ = ηΠ
65 ѕιηΘ = 1 тнєη,Θ = (4η + 1)Π/2
66, ѕιηΘ =−1 тнєη,Θ = (4η− 1)Π/2
67, ѕιηΘ = ѕιηα тнєη,Θ = ηΠ (−1)^ηα
68. ѕιη2α = 2ѕιηα¢σѕα
69. ¢σѕ2α = ¢σѕ²α − ѕιη²α
70. ¢σѕ2α = 2¢σѕ²α − 1
71. ¢σѕ2α = 1 − ѕιη²α
72. 2ѕιη²α = 1 − ¢σѕ2α
73. 1 + ѕιη2α = (ѕιηα + ¢σѕα)²
74. 1 − ѕιη2α = (ѕιηα − ¢σѕα)²
75. тαη2α = 2тαηα / (1 − тαη²α)
76. ѕιη2α = 2тαηα / (1 + тαη²α)
77. ¢σѕ2α = (1 − тαη²α) / (1 + тαη²α)
78. 4ѕιη³α = 3ѕιηα − ѕιη3α
79. 4¢σѕ³α = 3¢σѕα + ¢σѕ3α

80, ѕιη²Θ+¢σѕ²Θ=1
81, ѕє¢²Θ-тαη²Θ=1
82, ¢σѕє¢²Θ-¢σт²Θ=1
83, ѕιηΘ=1/¢σѕє¢Θ
84, ¢σѕє¢Θ=1/ѕιηΘ
85, ¢σѕΘ=1/ѕє¢Θ
86, ѕє¢Θ=1/¢σѕΘ
87, тαηΘ=1/¢σтΘ
88, ¢σтΘ=1/тαηΘ
89, тαηΘ=ѕιηΘ/¢σѕΘ


Almost all formula covered for classes
9th,10th,11th,12th

Almost all formula covered