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If cos(A-B)=1/2 and sin(A+B)=1/2, find the smallest values of A and B and also their general values?

If cos(A-B)=1/2 and sin(A+B)=1/2, find the smallest values of A and B and also their general values?

Grade:12

1 Answers

Likith Narayan ss
19 Points
11 years ago

cos(A-B)=1/2=>cos(A-B)=cos60    

                      =>A-B=60            --->1     

sin(A+B)=1/2=>sin(A+B)=sin30                

                      =>A+B=30             --->2                

comparing them we get A=45 B=15(in clockwise direction) 

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