MAT - Paper 2008 - Q1C
Flashcards
2021-10-10
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\[(\cos \theta) x - (\sin \theta) y = 2\] \[(\sin \theta)x + (\cos \theta)y = 1\]How could you eliminate one of the variables?? Multiply by $\cos \theta$ or $\sin \theta$.
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\[(\cos \theta) x - (\sin \theta) y = 2\] \[(\sin \theta)x + (\cos \theta)y = 1\]If asked which values of $\theta$ these equations are solvable for, what does that mean?? What values of $\theta$ the system of equations is consistent for.
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\[(\cos \theta) x - (\sin \theta) y = 2\] \[(\sin \theta)x + (\cos \theta)y = 1\]What is this in disguise?? A rotation.