MAT - Paper 2008 - Q1C

2021-10-10
1 min read

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.


Metadata
date: 2021-10-10 11:26
summary: how many ways can you solve a funky simultaneous equation?
tags:
- '@?public'
- '@?mat'
- '@?notes'
- '@?maths'
title: MAT - Paper 2008 - Q1C