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- 3.4 Radians.
- 3.6 Angle Identities.
- 3.8 Trigonometric Equations.

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Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.

Here are some exam-style questions on this topic:

- "
*(a) Write down the exact value of \(\tan 60^o\).*" ... more - "
*The following diagram shows a circle with centre O and radius 9 cm.*" ... more - "
*The diagram shows a circle with a minor sector shaded blue and a major sector shaded yellow.*" ... more - "
*In triangle ABC, the length of AB = 5cm, AC = 13cm and \( \cos B \hat AC = \frac18 \).*" ... more - "
*The following diagram shows part of a circle with centre O and radius 10cm.*" ... more - "
*(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 - "
*Consider a right-angled triangle, ABC, with the right angle at vertex C and where \(\sin A = \frac{12}{13}\)*" ... more - "
*An Asian water buffalo is tethered in a rectangular field by a rope of length \(r\) metres. One end of the rope is securely tied to point \(P\) as shown in this diagram (not drawn to scale).*" ... more - "
*(a) Show that \(2x+15+\dfrac{40}{x-3}= \dfrac{2x^2+9x-5}{x-3}, \quad x \in \mathbb{R}, x \neq 3\)*" ... more - "
*(a) Solve the following trigonometric equation for \(–360° \lt x \lt 360°\):*" ... more - "
*The cosine of acute angle \( \alpha \) is \( \frac{1}{ \sqrt 5} \)*" ... more

Here are some Advanced Starters on this statement:

**Angle Thinking**

Find the range of possible angles, x, for which tan x > cos x > sin x more**Pizza Slice**

A problem which can be solved by considering the areas of a triangle and a sector of a circle. more**Tansum**

Find the sum of the tangents of angles on a straight line. more

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

- Angles Pupils should understand that angles represent an amount of turning and be able to estimate the size of angle. When constructing models and drawing pupils should be able to measure and draw angles to the nearest degree and use appropriate language associated with angles. Pupils should know the angle sums of polygons and that of angles at a point and on a straight line. They will learn about angles made in circles by chords, radii and tangents and recognise the relationships between them. Pupils will work with angles using trigonometry, transformations and bearings. In exams pupils are often instructed that while non-exact answers should be given to three significant figures, angle answers should be given to one decimal place.
- 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.

This Scheme of Learning was produced by White Rose Maths and is used here with permission granted on 30th June 2021.