त्रिकोणमिति के महत्वपूर्ण फॉर्मूला (Important Formula Of Trignometry)

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Basic Formula of Trignomery

  • sinθ = 1/cosecθ
  • cosθ = 1/secθ
  • tanθ = 1/cotθ
  • cotθ = 1/tanθ
  • secθ = 1/cosθ
  • cosecθ = 1/sinθ

त्रिकोणमिति अनुपात (Trigonometric Ratio)

  • sinθ = लम्ब/कर्ण 
  • cosθ = आधार/कर्ण 
  • tanθ = लम्ब/आधार 
  • cotθ = आधार /लम्ब
  • secθ = कर्ण /आधार 
  • cosecθ = कर्ण /लम्ब

त्रिकोणमिति सम्बन्ध (Trigonometric Relation )

  • sinθ.cosecθ = 1
  • cosθ.secθ = 1
  • tanθ.cotθ = 1
  • tanθ = sinθ/cosθ

त्रिकोणमितीय सर्वसमिकाएँ (Trigonometric Identities)

  • sin²θ + cos²θ = 1
  • 1 + tan²θ = sec²θ
  • 1 + cot²θ = cosec²θ

 कोण योग और विभिन्न सर्वसमिकाये (Angle Sum And Difference Identities)

  • sin(A+B) = sin A cos B + cos A sin B
  • sin(A–B) = sin A cos B – cos A sin B
  • cos(A+B) = cos A cos B – sin A sin B
  • cos(A–B) = cos A cos B + sin A sin B
  • tan( A+B) = (tan A + tan B)/(1–tan A tan B)
  • tan( A–B) = (tan A – tan B)/(1+tan A tan B)

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