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- Maths and statistics
- Trigonometry
Trigonometric functions such as sin, cos and tan are usually defined as the ratios of sides in a right-angled triangle. These ratios can be extended to angles greater than \(90^{\circ}\), using angles in a unit circle. Circular functions have applications in many STEM disciplines, such modelling oscillating motion in engineering,...
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- Maths and statistics
- Trigonometry
Pythagoras’ theorem shows the relationship between the sides of a right-angled triangle. Knowing the length of two sides of a right-angled triangle, the length of the third side can be calculated. Understanding Pythagoras' theorem helps you solve problems in fields such as architecture, engineering, and computer graphs, where precise calculations...
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- Maths and statistics
- Trigonometry
Explore the relationships between the angles and side lengths of a right-angled triangle. You will learn how to use trigonometric ratios to find unknown angles and lengths, enhancing your ability to solve geometric problems. Mastering this concept is vital for fields such as engineering, physics, and architecture, where precise calculations...
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- Maths and statistics
- Trigonometry
A calculator may only give you one answer to an inverse trigonometry question between \(0\) and \(90^{\circ}\). When you use the unit circle, you can visualise the many different solutions for the angle. Understanding this concept will help you in many STEM fields, such as satellite navigation in physics, and...
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- Maths and statistics
- Trigonometry
Like the sine rule, the cosine rule comes in handy for triangles that are not right-angled. Use this resource to learn about the cosine rule, how it is applied to find unknown sides and angles, and its importance in solving complex geometric problems involving any type of triangle. The cosine...
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- Maths and statistics
- Trigonometry
The trigonometric ratios are handy for real-life situations where right-angled triangles are involved, but what about triangles that are not right-angled? We use the sine rule. Use this resource to learn what the sine rule is and how it is applied. The sine rule shows that the ratio of the...
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- Maths and statistics
- Trigonometry
Angles are commonly measured in degrees but sometimes, it is useful to define them in terms of the length around the unit circle. This resource introduces radians as a measure of angle. Being able to use radians is crucial for solving problems in engineering, such as analysing the motion of...
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- Maths and statistics
- Trigonometry
Trigonometric identities are essential tools for simplifying expressions and solving equations in mathematics. They are used in a wide range of disciplines, including architecture and engineering, physics, computer graphics, astronomy and medical imaging. Use this resource to learn about some of the fundamental identities, double angle formulas, sums and difference,...
