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If sin (A-B) =(1)/(2), cos (A+B) =(1)/(2...

If `sin (A-B) =(1)/(2), cos (A+B) =(1)/(2)," where "0^(@) lt A + B le 90^(@) and A gt B`, find A and B

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The correct Answer is:
`A =45^(@) and B = 15^(@)` (How ?)
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