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Trigonometry Formulas For SSC CGL Exams Maths for SSC

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  • ѕιη0° =0
  • ѕιη30° = 1/2
  • ѕιη45° = 1/√2
  • ѕιη60° = √3/2
  • ѕιη90° = 1
  • ¢σѕ is Opposite of Sin
  • тαη0° = 0
  • тαη30° = 1/√3
  • тαη45° = 1
  • тαη60° = √3
  • тαη90° = ∞
  • ¢σт is Opposite of Tan
  • ѕє¢0° = 1
  • ѕє¢30° = 2/√3
  • ѕє¢45° = √2
  • ѕє¢60° = 2
  • ѕє¢90° = ∞
  • ¢σѕє¢ is Opposite of Sec


         0°
         30°
      45°
      60°
     90°
ѕιη
         0
        1/2
      1/√2
      √3/2
       1
тαη
         0
        1/√3
         1
     √3
    
ѕє¢
         1
        2/√3
        √2
         2
       ∞



  • 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

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