Question

If sin(A+B)=root 3/2 and cos(A-B)=1,find the value of A andB.

Answer 1

please see the picture.

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Answer 2

$sin60 = \sqrt{3} \div 2$
now on comparing sin(a+b)
we have a+b=60

again
$cos0 = 1$
there again comparing
we have a-b=0
=>a=b
hence 2a=60
hence a=b=30