GCSE Mathematics Syllabus Statement

Subject Content:

Pupils should be taught to know the exact values of the sine and cosine of 30, 45, 60 and 90 degrees; know the exact value of the tangent of 30, 45, and 60 degrees

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Common Trig Ratios Video You may not realise that it is possible to find sin60° or tan45° without a calculator. This video is to help you do the online, self-marking exercise.

Common Trig Ratios Degrees A self-marking exercise on finding the exact values of sine, cosine and tangent of special angles.

Here are some exam-style questions on this statement:

"Find the exact value of tan45° × sin30° × cos30°" ... more

"(a) Write down the exact value of \(\tan 60^o\)." ... more

"The area of triangle ABC (not drawn to scale) is " ... more

See all these questions

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

Trigonometry Trigonometry is a branch of mathematics that studies triangles and the relationships between their sides and the angles between these sides. Pupils begin by learning the names on the sides of a right-angled triangle relative to the angles. They then learn the ratios of the lengths of these sides and the connection these ratios have with the size of the angles. Having mastered right-angled triangle trigonometry pupils then progress to more advanced uses including the sine rule and cosine rules. The use of a scientific or graphing calculator is essential for this topic and correct, efficient use of the calculator is an important skill to develop. Here's a Trigonometry Wordsearch just for fun.

Featured Activity

Striped Sweets

Colour the sweet wrappers so that no two are the same. A multi-level activity designed to encourage a systematic strategy for finding all of the different permutations.

Factorising

Practise the skills of algebraic factorisation in this structured online self-marking exercise. So far this activity has been accessed 53851 times and 34070 Transum Trophies have been awarded for completing it.

Transum,

Saturday, August 17, 2019

"Here's an Advanced Lesson Starter that is just right to present to a class when they are learning exact values of common angles. It is a challenge to find the Tangent of 22.5^o without using a calculator but a helpful diagram is included."

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