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Prove the following that: sin^2A=cos^2...

Prove the following that: `sin^2A=cos^2(A-B)+cos^2B-2cos(A-B)cosAcosBdot`

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To prove the equation \( \sin^2 A = \cos^2(A - B) + \cos^2 B - 2 \cos(A - B) \cos A \cos B \), we will start with the right-hand side (RHS) and manipulate it until we arrive at the left-hand side (LHS). ### Step-by-step Solution: 1. **Start with the RHS:** \[ \text{RHS} = \cos^2(A - B) + \cos^2 B - 2 \cos(A - B) \cos A \cos B \] ...
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