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Trigonometry - Addition and subtraction formulas
- \(sin(\alpha+\beta)=sin\alpha.cos\beta+sin\beta.cos\alpha\)
- \(sin(\alpha-\beta)=sin\alpha.cos\beta-sin\beta.cos\alpha\)
- \(cos(\alpha+\beta)=cos\alpha.cos\beta-sin\alpha.sin\beta\)
- \(cos(\alpha-\beta)=cos\alpha.cos\beta+sin\alpha.sin\beta\)
- \(tan(\alpha+\beta)={{tan\alpha+tan\beta} \over 1-tan\alpha.tan\beta}\)
- \(tan(\alpha-\beta)={{tan\alpha-tan\beta} \over 1+tan\alpha.tan\beta}\)
- \(cot(\alpha+\beta)={ 1-tan\alpha.tan\beta \over {tan\alpha+tan\beta} }\)
- \(cot(\alpha-\beta)={ 1+tan\alpha.tan\beta \over {tan\alpha-tan\beta} }\)