# Unit: Surds and trigonometry

## Lessons:

12 lessons

### Rational and irrational numbers

In this lesson, you will learn to classify rational and irrational numbers.

### Introduction to Surds

In this lesson, you will learn what a surd is and how to estimate the value of a surd.

### Surds and triangles

In this lesson we will recap how to use Pythagorean theorem to find the length of missing sides in triangles leaving the answers is surd form.

### Manipulating surds

In this lesson, we will look at basic surd rules in particular multiplication and division.

### Varying the ratio of side lengths in right angle triangles

In this lesson, you will learn about the the ratio of side lengths in right angle triangles.

### The case of 30 and 60 degrees

In this lesson, we will look at the special cases of 30 and 60 degrees right angled-triangles.

### The sine ratio

In this lesson, you will develop an understanding of trigonometric ratios focusing on sine.

### The sine and cosine ratios

In this lesson, you will explore trigonometric ratios focusing on sine and cosine.

### The sine and cosine ratios for 30 and 60 degrees

In this lesson, we will learn how to find missing sides and angles using sine and cosine for 30 and 60 degrees.

### Finding missing sides using sine and cosine for any angle

In this lesson, we will learn how to find missing sides using sine and cosine for any angle.

### Using inverse sine and cosine to find missing angles

In this lesson, we will use inverse sine and cosine to find missing angles.

### Sine and cosine graphs

In this lesson, we will look at the sine and cosine graphs and compare them.