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🎓🧩Mathematics formulas🧩🎯🎯
1. (α+в)²= α²+2αв+в²
2. 2. (α+в)²= (α-в)²+4αв
3. 3. (α-в)²= α²-2αв+в²
4. 4. (α-в)²= (α+в)²-4αв
5. 5. α² + в²= (α+в)² - 2αв.
6. 6. α² + в²= (α-в)² + 2αв.
7. 7. α²-в² =(α + в)(α - в)
8. 8. 2(α² + в²) = (α+ в)² + (α - в)²
9. 9. 4αв = (α + в)² -(α-в)²
10. 10. αв =1. (α + в + ¢)² = α² + в² + ¢² + 2(αв + в¢ + ¢α)
11. 12. (α + в)³ = α³ + 3α²в + 3αв² + в³
12. 13. (α + в)³ = α³ + в³ + 3αв(α + в)
13. 14. (α-в)³=α³-3α²) (α² -αв + в²)
15. 16. α³ + в³ = (α+ в)³ -3αв(α+ в)
16. 17. α³ -в³ = (α -в) (α² + αв + в²)
17. 18. α³ -в³ = (α-в)³ + 3αв(α-в)
18. ѕιη0° =0
19. ѕιη30° = 1/2
20. ѕιη45° = 1/√2
21. ѕιη60° = √3/2
22. ѕιη90° = 1
23. ¢σѕ ιѕ σρρσѕιтє σƒ ѕιη
24. тαη0° = 0
25. тαη30° = 1/√3
26. тαη45° = 1
27. тαη60° = √3
28. тαη90° = ∞
29. ¢σт ιѕ σρρσѕιтє σƒ тαη
30. ѕє¢0° = 1
31. ѕє¢30° = 2/√3
32. ѕє¢45° = √2
33. ѕє¢60° = 2
34. ѕє¢90° = ∞
35. ¢σѕє¢ ιѕ σρρσѕιтє σƒ ѕє¢
36. 2ѕιηα¢σѕв=ѕιη(α+в)+ѕιη(α-в)
37. 2¢σѕαѕιηв=ѕιη(α+в)-ѕιη(α-в)
38. 2¢σѕα¢σѕв=¢σѕ(α+в)+¢σѕ(α-в)
39. 2ѕιηαѕιηв=¢σѕ(α-в)-¢σѕ(α+в)
40. ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
41. » ¢σѕ(α+в)=¢σѕα ¢σѕв - ѕιηα ѕιηв.
42. » ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
43. » ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
44. » тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
45. » тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
46. » ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
47. » ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)
48. » ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв.
49. » ¢σѕ(α+в)=¢σѕα ¢σѕв +ѕιηα ѕιηв.
50. » ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв.
51. » ¢σѕ(α-в)=¢σѕα¢σѕв+ѕιηαѕιηв.
52. » тαη(α+в)= (тαηα + тαηв)/ (1−тαηαтαηв)
53. » тαη(α−в)= (тαηα − тαηв) / (1+ тαηαтαηв)
54. » ¢σт(α+в)= (¢σтα¢σтв −1) / (¢σтα + ¢σтв)
55. » ¢σт(α−в)= (¢σтα¢σтв + 1) / (¢σтв− ¢σтα)
56. 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
1. ѕιη2α = 2ѕιηα¢σѕα
2. 2. ¢σѕ2α = ¢σѕ²α − ѕιη²α
3. 3. ¢σѕ2α = 2¢σѕ²α − 1
4. 4. ¢σѕ2α = 1 − ѕιη²α
5. 5. 2ѕιη²α = 1 − ¢σѕ2α
6. 6. 1 + ѕιη2α = (ѕιηα + ¢σѕα)²
7. 7. 1 − ѕιη2α = (ѕιηα − ¢σѕα)²
8. 8. тαη2α = 2тαηα / (1 − тαη²α)
9. 9. ѕιη2α = 2тαηα / (1 + тαη²α)
10. 10. ¢σѕ2α = (1 − тαη²α) / (1 + тαη²α)
11. 11. 4ѕιη³α = 3ѕιηα − ѕιη3α
12. 12. 4¢σѕ³α = 3¢σѕα + ¢σѕ3α
» ѕιη²Θ+¢σѕ²Θ=1
» ѕє¢²Θ-тαη²Θ=1
» ¢σѕє¢²Θ-¢σт²Θ=1
» ѕιηΘ=1/¢σѕє¢Θ
» ¢σѕє¢Θ=1/ѕιηΘ
» ¢σѕΘ=1/ѕє¢Θ
» ѕє¢Θ=1/¢σѕΘ
» тαηΘ=1/¢σтΘ
» ¢σтΘ=1/тαηΘ
» тαηΘ=ѕιηΘ/¢σѕΘ

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This is the Second Video about exponents:

Exponent example 2 Exponents, radicals, and scientific notation Pre Algebra-Golden Maths Academy Subscribe to our channel: https://www.youtube.com/channel/UCq11...By the end of this module you should be able to: Compare and represent numbers in exponential