prove that
Tan (A + B)=
Sin² A - Sin²B
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Sin A. Cos A - Sin B. Cos B
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Answer:
LHS=cos^2B-cos^2A
=cos^2B-cos^2B cos^2A-cos^2A+cos^2B cos^2A
=cos^2B (1-cos^2A)-cos^2A (1-cos^2B)
=sin^2 A cos^B-cos^2A sin^2B
=(sinA cosB+cosA sinB)(Sin A cosB-cosA sinB)
=sin (A+B)sin (A-B)
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