Maths - Misc

2021-07-07
1 min read

Flashcards

$$\sqrt{3 - 2\sqrt{2}}$$ How can you simplify this??

Rewrite as

$$ \sqrt{2}^2 - 2\cdot\sqrt{2}\cdot + 1^2 $$

and complete the square.

2022-01-19

WACKY CIRCLE How could you find the area of the shaded region??

Split it up into a sector and a right-angled triangle.

WACKY CIRCLE ANSWER

2022-02-02

Given a parametric curve $$(x(t), y(t))$$ how can you work out the parametric curve for rotating it by an angle $\theta$??

$$ \left(\begin{matrix} \cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{matrix}\right) $$

2022-02-03

What is the formula for the area of a triangle with coordinates $(0, 0)$, $(x_1, y_1)$ and $(x_2, y_2)$??

$$ \frac{1}{2} \left|\begin{matrix} x_1 & y_1 \\ x_2 & y_2 \end{matrix}\right| $$

What is the formula for the area of a triangle with coordinates $(x_1, y_1)$, $(x_2, y_2)$ and $(x_3, y_3)$??

$$ \frac{1}{2} \left|\begin{matrix} x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1 \end{matrix}\right| $$


Metadata
date: 2021-07-07 15:09
tags:
- '@?maths'
- '@?public'
title: Maths - Misc