sin(B+A)+cos(B-A) /sin(B-A)+cos(B+A)=cosA+sinA/cosA-sinA
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Step-by-step explanation:
L.H.S=sin(B+A)+cos(B-A)/sin(B-A). +cos(B+A)
=sin(B+A)+sin(90-B+A)/sin(B-A)+sin(90-B-A)
=2sin(45+A).cos(B-45)/2sin(45-A).cos(B-45)
=sin(45+A)/sin(45-A)
or
cosA+sinA/cosA-sinA.
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