Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅?
       
      
                
     
    
    
    
    
    2 answers:
            
              
              
                
                
Answer: Option C is correct 
Step-by-step explanation:
We know tha tCos(A-B) = cosA cosB + sinAsinB 
Plugging A = 180 and B = Ф
cos(180-Ф)= cos180cosФ+sin180sinФ
                   = (-1) cosФ+ (0) sinФ   [ since cos180=-1 and sin180 =0]
                  = -cosФ + 0 
                  = -cosФ
Therefore option C is the correct answer.        
 
                                
             
                    
              
              
                
                
Answer:
Option (b) is correct.
b) 
Step-by-step explanation:
Given 
To prove the above stated formula we have to choose one of the identity from the given options .
Since right side of above formula is  which is same as
 which is same as  , we will use the identity
, we will use the identity 


We know   and
 and  
 
Substitute above, we get,
 
Thus, Option (b) is correct.
 
                                
             
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Hoped it helped :)