sin(a-b)=cos(a+b)=1/2,find a and b
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Answer:
sin(A-B) =1/2
sin(A-B) =sin 30 (bcause 1/2=30)
A-B=30---------------------1
cos(A+B) = 1/2
cos (A+B) =cos 60
A+B = 60-------------------2
Adding 1 and 2 we get 2A = 90
A = 90/2
A= 45
substituting A=45 in 1
A-B = 30
45-B=30
-B=30-45
-B=-15
B=15
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