(sin a-sin b/cos a+cos b)+(cos a-cos b/sin a+sin b)=0
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the numerator will be zero after simplification.and then the total value of the problem will be zero.
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by cross multiplication
[(sinA-sinB)(sinA+sinB)+(cosA-cosB)(cosA+cosB)]/(cosA+cosB)*(sinA+sinB)
so
[sin^2A-sin^2B+cos^2A-cos^2B]/(cosA+cosB)(sinA+sinB)
o
[(sinA-sinB)(sinA+sinB)+(cosA-cosB)(cosA+cosB)]/(cosA+cosB)*(sinA+sinB)
so
[sin^2A-sin^2B+cos^2A-cos^2B]/(cosA+cosB)(sinA+sinB)
o
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