In this resource the side lengths of a triangle are given. The challenge is to find the ratio of the product of each of the tangents, divided by the sum of each of the tangents.

Each student worksheet contains a different triangle, but the answers all have something in common.

The solution involves...

A circle is drawn that is tangent to the three sides of the triangle. The two constituent lengths of the hypotenuse are given and the challenge is to calculate the area of the triangle. When...

This activity is based upon a practical task to fit a set of similar triangles into a spiral. It is in two parts, the first of which is more accessible.

In Part 1 students are presented with a series of different sized similar triangles. These fit together to form a spiral and students look at how many are...

This task considers using metal rods to make a triangular framework. The metal rods have lengths that are whole numbers. Students must work out how many triangular frameworks can be made with the longest side being 7 metres. The solution involves being methodical in listing examples, and using inequalities to...

Produced by the Spode Group as part of the A-level mathematics support series, this booklet aims to show the practical importance of trigonometric functions. The booklet contains five case studies.

Cylindrical oil container covers applications of sine, cosine and tangent

Pipes...

This resource contains two interactive excel files dealing with the graphs of trigonometric functions.

Trigonometry: X=cos, Y=sin...

Royal Navy Search and Rescue helicopters provide cover to large sections of the UK coastline, offering support to coastguard services 365 days a year.

These materials from Defence Dynamics encourage the use of problem solving skills and knowledge of trigonometry to directly assist the Royal Navy in a series...

This short task contains two questions on applying trigonometry.

The topics covered are:

• Linking sine, cosine and tangent
• Using Pythagoras to determine a length in a triangle and then give the tangent of an angle in surd form
• Using the Pythagorean identity sin2(x) + cos2(x) = 1...

This resource contains twelve problems requiring students to explore the properties of the functions of sine, cosine and tangent. Students explain which is the odd one out, state which functions can be represented by which graph, devise questions which give a certain set of solutions and state whether statements...

Mathcentre provide these resources which cover aspects of trigonometry, often used in the field of engineering. They include the trigonometric ratios, using Pythagoras’ theorem and working with the sine and cosine rules.

Comprehensive notes, with clear descriptions, for each resource are provided, together...

Mathcentre provide these resources which cover aspects of trigonometry and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include the trigonometric ratios, using Pythagoras’ theorem, cosecant,...

This resource is designed as a resource bank of questions to supplement the teaching element of the lesson. The questions require students to use Pythagoras' theorem in order to find whether a triangle is right angled and find the lengths of missing sides, and problems on 2D and 3D shapes.

The next section...

This resource consists of 15 instant maths ideas, ideal for use as starter questions, extension question or probing questions to assess understanding, requiring students to plot graphs of the trigonometric functions and explain their properties, explore Snell’s Law, convert gradients into angles, calculate the...

This MEP resource from CIMT is taken from text book 9B which covers the mathematics scheme of work for the second half of year 9.

Trigonometry covers: Pythagoras' theorem, trigonometric functions; an introduction to sine, cosine and tangent; calculating the length of sides of triangles and calculating the...

This RISP activity gives students four properties - one side is 3cm, one angle is 90 degrees, one side is 4cm and one angle is thirty degrees. Students are required to find as many triangles as they can which contain any three of these four properties. Once the triangles have been found, students are asked to find...