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Formula




1. (α + в) ² = α² + 2αв + в²
2. (α + в) ² = (α-в) ² + 4αв
3. (α-в) ² = α²-2αв + в²
4. (α-в) ² = (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)
ѕιη0 ° = 0
ѕιη30 ° = 1/2
ѕιη45 ° = 1 / √2
ѕιη60 ° = √3 / 2
ѕιη90 ° = 1
¢ σѕ ιѕ σρρσѕιтє σƒ ѕιη
тαη0 ° = 0
тαη30 ° = 1 / √3
тαη45 ° = 1
тαη60 ° = √3
тαη90 ° = ∞
¢ σт ιѕ σρρσѕιтє σƒ тαη
ѕє ¢ 0 ° = 1
ѕє ¢ 30 ° = 2 / √3
ѕє ¢ 45 ° = √2
ѕє ¢ 60 ° = 2
ѕє ¢ 90 ° = ∞
¢ σѕє ¢ ιѕ σρρσѕιтє σƒ ѕє ¢
2ѕιηα ¢ σѕв = ѕιη (α + в) + ѕιη (α-в)
2 ¢ σѕαѕιηв = ѕιη (α + в) -ѕιη (α-в)
2 ¢ σѕα ¢ σѕв = ¢ σѕ (α + в) + ¢ σѕ (α-в)
2ѕιηαѕιηв = ¢ σѕ (α-в) - ¢ σѕ (α + в)
ѕιη (α + в) = ѕιηα ¢ σѕв + ¢ σѕα ѕιηв.
»¢ σѕ (α + в) = ¢ σѕα ¢ σѕв - ѕιηα ѕιηв.
»Ѕιη (α-в) = ѕιηα ¢ σѕв- ¢ σѕαѕιηв.
»¢ σѕ (α-в) = ¢ σѕα ¢ σѕв + ѕιηαѕιηв.
»Тαη (α + в) = (тαηα + тαηв) / (1 − тαηαтαηв)
»Тαη (α − в) = (тαηα - тαηв) / (1+ тαηαтαηв)
»¢ σт (α + в) = (¢ σтα ¢ σтв −1) / (¢ σтα + ¢ σтв)
»¢ σт (α − в) = (¢ σтα ¢ σтв + 1) / (¢ σтв− ¢ σтα)
»Ѕιη (α + в) = ѕιηα ¢ σѕв + ¢ σѕα ѕιηв.
»¢ σѕ (α + в) = ¢ σѕα ¢ σѕв + ѕιηα ѕιηв.
»Ѕιη (α-в) = ѕιηα ¢ σѕв- ¢ σѕαѕιηв.
»¢ σѕ (α-в) = ¢ σѕα ¢ σѕв + ѕιηαѕιηв.
»Тαη (α + в) = (тαηα + тαηв) / (1 − тαηαтαηв)
»Тαη (α − в) = (тαηα - тαηв) / (1+ тαηαтαηв)
»¢ σт (α + в) = (¢ σтα ¢ σтв −1) / (¢ σтα + ¢ σтв)
»¢ σт (α − в) = (¢ σтα ¢ σтв + 1) / (¢ σтв− ¢ σтα)
α / ѕιηα = в / ѕιηв = ¢ / ѕιη ¢ = 2я
»Α = в ¢ σѕ ¢ + ¢ ¢ σѕв
»В = α ¢ σѕ ¢ + ¢ ¢ σѕα
»¢ = α ¢ σѕв + в ¢ σѕα
»¢ σѕα = (в² + ¢ ²− α²) / 2в ¢
»¢ σѕв = (¢ ² + α²− в²) / 2 ¢ α
»¢ σѕ ¢ = (α² + в²− ¢ ²) / 2 ¢ α
»Δ = αв ¢ / 4я
»ЅιηΘ = 0 тнєη, Θ = ηΠ
»ЅιηΘ = 1 тнєη, Θ = (4η + 1) Π / 2
»ЅιηΘ = −1 тнєη, Θ = (4η− 1) Π / 2
»ЅιηΘ = ѕιηα тнєη, Θ = ηΠ (−1) ^ ηα

1. ѕιη2α = 2ѕιηα ¢ σѕα
2. ¢ σѕ2α = ¢ σѕ²α - ѕιη²α
3. ¢ σѕ2α = 2 ¢ σѕ²α - 1
4. ¢ σѕ2α = 1 - ѕιη²α
5. 2ѕιη²α = 1 - ¢ σѕ2α
6. 1 + ѕιη2α = (ѕιηα + ¢ σѕα) ²
7. 1 - ѕιη2α = (ѕιηα - ¢ σѕα) ²
8. тαη2α = 2тαηα / (1 - тαη²α)
9. ѕιη2α = 2тαηα / (1 + тαη²α)
10. ¢ σѕ2α = (1 - тαη²α) / (1 + тαη²α)
11. 4ѕιη³α = 3ѕιηα - ѕιη3α
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

"Important" ..

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