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Title: Most important equations you will ever need!!!!
Description: These notes are for grade 10 level. They have important formulas that you'll ever need to ace any math test.
Description: These notes are for grade 10 level. They have important formulas that you'll ever need to ace any math test.
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(α+в+¢)²= α²+в²+¢²+2(αв+в¢+¢α)
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(α+в)²= (α-в)²+4αв b
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(α-в)²= f(α+в)²-4αв
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2(α² + в²) = (α+ в)² + (α - в)²
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αв ={(α+в)/2}²-{(α-в)/2}²
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(α + в)³ = α³ + 3α²в + 3αв² + в³
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(α-в)³=α³-3α²в+3αв²-в³
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α³ + в³ = (α+ в)³ -3αв(α+ в)
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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)
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4¢σѕ³α = 3¢σѕα + ¢σѕ3α
ѕιη(α+в)=ѕιηα ¢σѕв+ ¢σѕα ѕιηв
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» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв
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» 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
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» ѕιη(α-в)=ѕιηα¢σѕв-¢σѕαѕιηв
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» 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
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¢σѕ2α = ¢σѕ²α − ѕιη²α
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¢σѕ2α = 1 − ѕιη²α
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1 + ѕιη2α = (ѕιηα + ¢σѕα)²
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тαη2α = 2тαηα / (1 − тαη²α)
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¢σѕ2α = (1 − тαη²α) / (1 + тαη²α)
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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
Title: Most important equations you will ever need!!!!
Description: These notes are for grade 10 level. They have important formulas that you'll ever need to ace any math test.
Description: These notes are for grade 10 level. They have important formulas that you'll ever need to ace any math test.