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Prove that: (sin A-sin B)/(cos A+cos B)=...

Prove that: `(sin A-sin B)/(cos A+cos B)=tan((A-B)/2)`

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To prove that \(\frac{\sin A - \sin B}{\cos A + \cos B} = \tan\left(\frac{A - B}{2}\right)\), we will start by simplifying the left-hand side (LHS) using trigonometric identities. ### Step 1: Write down the LHS \[ LHS = \frac{\sin A - \sin B}{\cos A + \cos B} \] ### Step 2: Apply the sine difference formula ...
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RD SHARMA-TRANSFORMATION FORMULAE-Solved Examples And Exercises
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  3. Prove that: (sin A-sin B)/(cos A+cos B)=tan((A-B)/2)

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  4. Prove that: (sin A+sin B)/(sin A-sin B)=tan((A+B)/2)cot((A-B)/2)

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  5. Prove that: (cos A+cos B)/(cos B-cos A)=cot((A+B)/2)cot((A-B)/2)

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