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

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

A

`15^@`

B

`30^@`

C

`45^@`

D

`60^@`

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