Tutorial
In Course: GCSE Mathematics: Higher Tier (9-1)

GCSE Maths: Right-Angled Trigonometry (SOHCAHTOA)

Learn the trigonometric ratios sine, cosine, and tangent, and use them to find missing sides and angles in right-angled triangles using the SOHCAHTOA mnemonic.

GCSE Maths: Right-Angled Trigonometry (SOHCAHTOA)

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Deck Contents

26 Cards
Lesson#1
Welcome to right-angled trigonometry. This is a powerful tool in mathematics that lets us find missing side lengths or angles in right-angled triangles. We'll learn how to label the sides of a triangle correctly, and then use a famous mnemonic, SOHCAHTOA, to set up and solve problems.
Lesson#2
First, let's learn how to name the sides. Every right-angled triangle has three special names for its sides, but their names depend on which angle you are focusing on. However, one side's name is always the same. That's the hypotenuse. It's always the longest side, and you can always find it directly opposite the right angle.
Quiz#3
In a right-angled triangle, what is the name of the side opposite the right angle?

hypotenuse

Lesson#4
The other two sides are called the opposite and the adjacent. Their names change depending on which angle, other than the right angle, we are interested in. The 'opposite' side is the one directly across from our angle of interest. The 'adjacent' side is the one next to our angle of interest, but it's not the hypotenuse.
Quiz#5
In a right-angled triangle, relative to a specific angle, what do we call the side directly across from it?

opposite

Quiz#6
In a right-angled triangle, relative to a specific angle, what do we call the side next to it that isn't the hypotenuse?

adjacent

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