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Trigonometry - Addition and subtraction formulas

  1. \(sin(\alpha+\beta)=sin\alpha.cos\beta+sin\beta.cos\alpha\)
     
  2. \(sin(\alpha-\beta)=sin\alpha.cos\beta-sin\beta.cos\alpha\)
     
  3. \(cos(\alpha+\beta)=cos\alpha.cos\beta-sin\alpha.sin\beta\)
     
  4. \(cos(\alpha-\beta)=cos\alpha.cos\beta+sin\alpha.sin\beta\)
     
  5. \(tan(\alpha+\beta)={{tan\alpha+tan\beta} \over 1-tan\alpha.tan\beta}\)
     
  6. \(tan(\alpha-\beta)={{tan\alpha-tan\beta} \over 1+tan\alpha.tan\beta}\)
     
  7. \(cot(\alpha+\beta)={ 1-tan\alpha.tan\beta \over {tan\alpha+tan\beta} }\)
     
  8. \(cot(\alpha-\beta)={ 1+tan\alpha.tan\beta \over {tan\alpha-tan\beta} }\)