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5.1/5.3 Sum and Difference Formulas for Cos, Sin, and Tan

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Question
Answer
cos(α + β) =   cosα cosβ - sinα sinβ  
cos(α - β) =   cosα cosβ + sinα sinβ  
sin(α + β) =   sinα cosβ + cosα sinβ  
sin(α - β) =   sinα cosβ - cosα sinβ  
tan(α + β) =   tanα + tanβ / 1- tanα tanβ  
tan(α - β)   tanα - tanβ / 1+ tanα tanβ  


   


 

 

 

 

 

 
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