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If acostheta+bsintheta=m and asintheta-b...

If `acostheta+bsintheta=m and asintheta-bcostheta=n`, then show that ` a^(2)+b^(2)=m^(2)+n^(2)`.

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To prove that \( a^2 + b^2 = m^2 + n^2 \) given the equations: 1. \( a \cos \theta + b \sin \theta = m \) (Equation 1) 2. \( a \sin \theta - b \cos \theta = n \) (Equation 2) we will follow these steps: ### Step 1: Square both equations ...
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