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If cot A=(b)/(a),then prove that : ...

If `cot A=(b)/(a)`,then prove that :
`(asinA - b cosA)/(asin A+bcosA)=(a^(2)-b^(2))/(a^(2)+b^(2))`

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AI Generated Solution

To prove the equation \( \frac{a \sin A - b \cos A}{a \sin A + b \cos A} = \frac{a^2 - b^2}{a^2 + b^2} \) given that \( \cot A = \frac{b}{a} \), we will start by manipulating the left-hand side (LHS). ### Step 1: Start with the LHS \[ \text{LHS} = \frac{a \sin A - b \cos A}{a \sin A + b \cos A} \] ### Step 2: Factor out \( \sin A \) from both the numerator and denominator ...
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