● (α + в)² = α² + 2αв + в²
● (α + в)² = (α - в)² + 4αвa
● (α - в)² = α² - 2αв + в²
● (α - в)² = (α + в)² - 4αв
● α² + в² = (α + в)² - 2αв.
● α² + в² = (α - в)² + 2αв.
● α² - в² = (α + в)(α - в)
● 2(α² + в²) = (α+ в)² + (α - в)²
● 4αв = (α + в)² - (α-в)²
● αв ={(α+в)/2}² - {(α-в)/2}²
● (α + в + c)² = α² + в² + c² + 2(αв + вc + cα)
● (α + в)³ = α³ + 3α²в + 3αв² + в³
● (α + в)³ = α³ + в³ + 3αв(α + в)
● (α - в)³ = α³ - 3α²в + 3αв² - в³
● α³ + в³ = (α + в)(α² - αв + в²)
● α³ + в³ = (α + в)³ - 3αв(α + в)
● α³ - в³ = (α - в) (α² + αв + в²)
● α³ - в³ = (α - в)³ + 3αв(α - в)
● ѕιη 0° = 0
● ѕιη 30° = 1/2
● ѕιη 45° = 1/√2
● ѕιη 60° = √3/2
● ѕιη 90° = 1
● ѕ ιѕ σρρσѕιтє σƒ ѕιη
● тαη 0° = 0
● тαη 30° = 1/√3
● тαη 45° = 1
● тαη 60° = √3
● тαη 90° = ∞
● coт ιѕ σρρσѕιтє σƒ тαη
● ѕєc 0° = 1
● ѕєc 30° = 2/√3
● ѕєc 45° = √2
● ѕєc 60° = 2
● ѕєc 90° = ∞
● coѕec ιѕ σρρσѕιтє σƒ ѕєc
● 2ѕιηα.coѕв = ѕιη(α+в) + ѕιη(α-в)
● 2coѕα.ѕιηв = ѕιη(α+в) - ѕιη(α-в)
● 2coѕα.coѕв = coѕ(α+в) + coѕ(α-в)
● 2ѕιηα.ѕιηв = coѕ(α-в) - coѕ(α+в)
● ѕιη(α+в) = ѕιηα coѕв + coѕα ѕιηв.
● coѕ(α+в) = coѕα.coѕв - ѕιηα.ѕιηв
● ѕιη(α-в) = ѕιηα.coѕв - coѕα.ѕιηв.
● coѕ(α-в) = coѕα.coѕв + ѕιηα.ѕιηв.
● тαη(α+в) = (тαηα + тαηв) / (1 - тαηα.тαηв)
● тαη(α−в) = (тαηα − тαηв) / (1+ тαηα.тαηв)
● coт(α+в) = (coтα.coтв −1) / (coтα + coтв)
● coт(α−в) = (coтα.coтв + 1) / (coтв - coтα)
● ѕιη(α+в) = ѕιηα.coѕв + coѕα.ѕιηв.
● coѕ(α+в) = coѕα.coѕв + ѕιηα.ѕιηв.
● ѕιη(α-в) = ѕιηα.coѕв - coѕα.ѕιηв
● coѕ(α-в) = coѕα.coѕв + ѕιηα.ѕιηв
● тαη(α+в)= (тαηα + тαηв) / (1−тαηα.тαηв)
● тαη(α−в)= (тαηα − тαηв) / (1+ тαηα.тαηв)
● coт(α+в) = (coтα.coтв −1) / (coтα + coтв)
● coт(α−в) = (coтα.coтв + 1) / (coтв − coтα)
● α/ѕιηα = в/ѕιηв = c/ѕιηc = 2я
● ѕιη2α = 2ѕιηα.coѕα
● coѕ2α = coѕ²α − ѕιη²α
● coѕ2α = 2coѕ²α − 1
● coѕ2α = 1 − ѕιη²α
● 2ѕιη²α = 1 − coѕ2α
● 1 + ѕιη2α = (ѕιηα + coѕα)²
● 1 − ѕιη2α = (ѕιηα − coѕα)²
● тαη2α = 2тαηα / (1 − тαη²α)
● ѕιη2α = 2тαηα / (1 + тαη²α)
● coѕ2α = (1 − тαη²α) / (1 + тαη²α)
● 4ѕιη³α = 3ѕιηα − ѕιη3α
● 4coѕ³α = 3coѕα + coѕ3α
● ѕιη²Θ + coѕ²Θ = 1
● ѕєc²Θ - тαη²Θ = 1
● coѕєc²Θ - coт²Θ = 1
● ѕιηΘ = 1 / cσѕєcΘ
● coѕєcΘ = 1/ ѕιηΘ
● coѕΘ = 1 / ѕєcΘ
● ѕєcΘ = 1 / coѕΘ
● тαηΘ = 1 / coтΘ
● coтΘ = 1 / тαηΘ
● тαηΘ = ѕιηΘ / coѕΘ