(See Solution) Prove the following identities; (sin A- sin B)/(cos A+ cos B)= tan (A-B)/(2) cos ^4 A- sin ^4 A=1-2 sin ^2


Question: Prove the following identities;

  1. \(\frac{\sin A-\sin B}{\cos A+\cos B}=\tan \frac{A-B}{2}\)
  2. \(\cos ^{4} A-\sin ^{4} A=1-2 \sin ^{2} A\)

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