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?
B.V.Suhas Sudheendhra , 14 Years ago
Grade 12
Trigonometry> trigonometry...
1 Answers
Likith Narayan ss
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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