4) If Acosθ - Bsinθ = x, and Asinθ + Bcosθ = ythat A^2 + B^2 = x^2 + y^2.

Name: 4) If Acosθ - Bsinθ = x, and Asinθ + Bcosθ = ythat A^2 + B^2 = x^2 + y^2.
Uploaded: 2023-07-16T19:20:38-08:00
Duration: 15 s
Channel: Numerade
Description: 4) If Acosθ - Bsinθ = x, and Asinθ + Bcosθ = ythat A^2 + B^2 = x^2 + y^2.

Question

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Question

4) If $A\cos\theta - B\sin\theta = x$, and $A\sin\theta + B\cos\theta = y$\prove that $A^2 + B^2 = x^2 + y^2$.

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