A Level Mathematics Syllabus Statement

Syllabus Content

Understand and use double angle formulae; use of formulae for sin (A ± B), cos (A ± B), and tan (A ± B);
understand geometrical proofs of these formulae;
understand and use expressions for a cosθ + b sinθ in the equivalent forms of r cos (θ ± α) or r sin (θ ± α)

Here are some exam-style questions on this statement:

"(a) Show that:" ... more

"(a) Show that the equation \( 2 \sin^2 x - 5 \cos x = -1\) may be written in the form \( 2 \cos^2 x + 5 \cos x = 3\)" ... more

"The cosine of acute angle \( \alpha \) is \( \frac{1}{ \sqrt 5} \)" ... more

"Consider the functions \(f(x)=\sin(x) \text{ and } g(x) = \tan(x+\frac{\pi}{2})\) in the region where \(\frac{\pi}{2}\le x \le \pi\)" ... more

See all these questions

Here is an Advanced Starter on this statement:

Cos 10 Equals p
Find the trigonometric values in terms of the given value, p. more

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.

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