# Sine And Cosine Rule Worksheet Pdf

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How to use Sine and Cosine - Trigonometry is the branch of mathematics that deals with the measurements and the relationships between the side lengths and the angles of a triangle. It is where the sine and the cosine rule enter trigonometry.

The solution for an oblique triangle can be done with the application of the Law of Sine and Law of Cosine, simply called the Sine and Cosine Rules. An oblique triangle, as we all know, is a triangle with no right angle. It is a triangle whose angles are all acute or a triangle with one obtuse angle. The Sine Rule states that the sides of a triangle are proportional to the sines of the opposite angles. In symbols,.

## sine and cosine rule

You will need to know at least one pair of a side with its opposite angle to use the Sine Rule. Practice Questions Work out the answer to each question then click on the button marked to see if you are correct. Finding Sides If you need to find the length of a side, you need to know the other two sides and the opposite angle. Sides b and c are the other two sides, and angle A is the angle opposite side a. These examples illustrate the decision-making process for a variety of triangles: e. We do know a side and its opposite angle.

Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all well, most! Mathster is a fantastic resource for creating online and paper-based assessments and homeworks. They have kindly allowed me to create 3 editable versions of each worksheet, complete with answers. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day.

## Bearings, Sine Rule & Cosine Rule Worksheet Mathsmeter

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## sine and cosine rule

The Cosine Rule. Answer the questions in the spaces provided. The marks for each question are shown in brackets.

I am now a retired teacher having taught for over 40 years in the UK at secondary level. I wanted to share my love of Mathematics and teaching by providing a good set of resources which will more than cover all your needs for as many topics as I can and at good value for money. I am trying to cover many topics from foundation level GCSE up to grade 9 at higher level in a way that is interesting and relevant.

### Section 4: Sine And Cosine Rule

There are three identities relating to the trigonometric functions that make working with triangles easier:. The area rule states that the area of any triangle is equal to half the product of the lengths of the two sides of the triangle multiplied by the sine of the angle included by the two sides. High marks in maths are the key to your success and future plans.

#### Fundamentals

MME Find a Tutor! Buy Revision Cards! The sine rule and the cosine rule are two equations that help us find missing side-lengths and angles in any triangle. They are both expressed according to the triangle on the right, where each letter represents one side-length lower-case and the angle opposite to it upper-case. To answer this question, we have to match up the information in the question to the letters in the formula. The only remaining bit of information is the angle, and looking at the cosine rule formula, we see that this must be the opposite angle to whichever side a is. Like with the cosine rule, we need to match up the letters in the formula with the information in the question.

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The Cosine Rule. Answer the questions in the spaces provided. The marks for each question are shown in brackets.

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