# MAT - Paper 2008 - Q1C

> Source: https://ollybritton.com/notes/maths/problems/mat/2008/q1c/ · Updated: 2021-10-10 · Tags: mat, notes, maths

## Flashcards
### 2021-10-10
##### $$(\cos \theta) x - (\sin \theta) y = 2$$ $$(\sin \theta)x + (\cos \theta)y = 1$$ How could you eliminate one of the variables??
Multiply by $\cos \theta$ or $\sin \theta$.

##### $$(\cos \theta) x - (\sin \theta) y = 2$$ $$(\sin \theta)x + (\cos \theta)y = 1$$ 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.

##### $$(\cos \theta) x - (\sin \theta) y = 2$$ $$(\sin \theta)x + (\cos \theta)y = 1$$ What is this in disguise??
A rotation.

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